M∠A = (6x +4)° and m∠B = (10x + 16)°. Find x if the angles are supplementary. A.12° B.14° C.8° D.10° Please don't reply just for the points, I really need help understanding these things, if possible please leave me an explanation on how you got this. P.S supplementary angles add up to 180 degrees

2 answers
Question:

m∠A = (6x +4)° and m∠B = (10x + 16)°. Find x if the angles are supplementary.
A.12°
B.14°
C.8°
D.10°
Please don't reply just for the points, I really need help understanding these things, if possible please leave me an explanation on how you got this. P.S supplementary angles add up to 180 degrees

Answers

Answer:d) 10°Step-by-step explanation:The sum of supplementary angles always equal 180°.Since two angles are supplementary, the two angles must add up to equal 180°. Angles A and B are known, so the equation is as follows.[tex]A + B = 180\\(6x + 4) + (10x + 16) = 180\\\\[/tex]Rearrange and combine like terms:[tex]6x + 10x + 16 + 4 = 180\\16x + 20 = 180\\[/tex]Isolate x:[tex]16x = 180 - 20\\16x = 160\\x =10[/tex]

B 14 because it adds up to 180

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