Quadrilateral DEFG quadrilateral KLMN. Find the given angle measure.
1 answer
Answers
Since the quadrilaterals are similar, it is found that the measure of angle D is of 92º.-------------------------------------------If two polygons are similar, their equivalent angles have the same measures.Quadrilaterals DEFG and KLMN are similar.The angle equivalent to angle D is angle K, thus they are equal.The measure of angle D is: (20x + 12)º.The measure of angle K is: (25x - 8)º.Since they are equal:[tex]25x - 8 = 20x + 12[/tex][tex]5x = 20[/tex][tex]x = \frac{20}{5}[/tex][tex]x = 4[/tex]Then:[tex]20x + 12 = 20(4) + 12 = 80 + 12 = 92[/tex]The measure of angle D is of 92º.A similar problem is given at https://brainly.com/question/11334173
Similar Solved Questions
2 answers
Lacey jarred 24 liters of jam after 3 days how much jam did Lacey jar if she spent 5 days making jam
Lacey jarred 24 liters of jam after 3 days how much jam did Lacey jar if she spent 5 days making jam...
1 answer
Tina practiced piano for 15 hours last month and 45 hours this month. using multiplication write a statement comparing the hours tina practiced during the two months
tina practiced piano for 15 hours last month and 45 hours this month. using multiplication write a statement comparing the hours tina practiced during the two months...
1 answer
Match the real-world descriptions with the features they represent within the context of Melissa’s garden. Not all tiles will be used. -------Tiles all possible lengths of the tomato patch ----- area of the tomato patch when the length of the bell pepper patch is 0 -------area of the bell pepper patch when the length of the tomato patch is 0 ------ length of the tomato patch when the area of the bell pepper patch is 0 ------all possible areas of the tomato patch -------all possible areas of
Match the real-world descriptions with the features they represent within the context of Melissa’s garden. Not all tiles will be used.
-------Tiles all possible lengths of the tomato patch
----- area of the tomato patch when the length of the bell pepper patch is 0 -------area of the bell peppe...
2 answers
How old was hitler when he went into power?
How old was hitler when he went into power?...
1 answer
Which set of ordered pairs does not represent a function? {(-3, -3),(-6, -7), (6,-3), (–9, 2)} {(8,–8), (-9,5), (9,-2), (-2,-8)} {(-7, -3), (-6, -1), (-6,8), (6, -6)} {(6,2), (-8,1), (-7,1),(5,-2)}
Which set of ordered pairs does not represent a function? {(-3, -3),(-6, -7), (6,-3), (–9, 2)} {(8,–8), (-9,5), (9,-2), (-2,-8)} {(-7, -3), (-6, -1), (-6,8), (6, -6)} {(6,2), (-8,1), (-7,1),(5,-2)}...
1 answer
I need help on this plz, thank you to anyone who helps
i need help on this plz, thank you to anyone who helps...
1 answer
Let w be the set of all points in r3 that lie in the xz-plane. is w a subspace of r3?
Let w be the set of all points in r3 that lie in the xz-plane. is w a subspace of r3?...
1 answer
Find the equation of a polynomial with only 2 equations that are tangent to the polynomial
Find the equation of a polynomial with only 2 equations that are tangent to the polynomial...
1 answer
Which of these was a result of the Columbian Exchange? A. New lives in America were possible for poor Europeans. B. Native American tribes were well treated by Europeans. C. Thousands of Africans moved onto new land in Europe. D. Native American farming methods were used in Europe.
Which of these was a result of the Columbian Exchange?
A. New lives in America were possible for poor Europeans.
B. Native American tribes were well treated by Europeans.
C. Thousands of Africans moved onto new land in Europe.
D. Native American farming methods were used in Europe....
1 answer
1275 divided by five whole number using whole numbers
1275 divided by five whole number using whole numbers...
2 answers
Consider the parallelogram shown below whose area is 40 square centimeters and height is 8 centimeters. The missing base in the figure is ___ centimeter.
Consider the parallelogram shown below whose area is 40 square centimeters and height is 8 centimeters. The missing base in the figure is ___ centimeter....
1 answer
Desarrolla teorías de biología, química, física, etc. Question 2 with 1 blank Nos ayuda a iluminar nuestras casas. Question 3 with 1 blank Combate los incendios (fires) que destruyen edificios. Question 4 with 1 blank Ayuda a la gente a invertir su dinero. Question 5 with 1 blank Enseña a los niños. Question 6 with 1 blank Diseña ropa. Question 7 with 1 blank Arregla las computadoras. Question 8 with 1 blank Diseña edificios.
Desarrolla teorías de biología, química, física, etc. Question 2 with 1 blank Nos ayuda a iluminar nuestras casas. Question 3 with 1 blank Combate los incendios (fires) que destruyen edificios. Question 4 with 1 blank Ayuda a la gente a invertir su dinero. Question 5 with 1 blank Enseña a los n...
1 answer
What did Russia do to combat the United States and the creation of NATO? A) Warsaw Pact B)Red Scare Alliance C)Triple Alliance D)Central Powers
What did Russia do to combat the United States and the creation of NATO? A) Warsaw Pact B)Red Scare Alliance C)Triple Alliance D)Central Powers...
1 answer
What is NOT a part of cell theory? all living things are composed of cells cells are composed of many parts the cell is the basic unit of life new cells arise from existing cells
What is NOT a part of cell theory?
all living things are composed of cells
cells are composed of many parts
the cell is the basic unit of life
new cells arise from existing cells...
1 answer
How much tip should you leave if you want to tip 25% at PF Chang on a $37.99 bill ??
how much tip should you leave if you want to tip 25% at PF Chang on a $37.99 bill ??...
2 answers
A member of the _____________ founded the Qing Dynasty. Group of answer choices A) Japanese B) Koreans C) Manchus D) Mongols
A member of the _____________ founded the Qing Dynasty.
Group of answer choices
A) Japanese
B) Koreans
C) Manchus
D) Mongols...