The sum of the angle measures of any triangle is 180 degrees. Angle 2 is twice the measure of angle 1. Angle 3 is 15 degrees less than the measure of angle 2. What is the measure of each angle?
2 answers
Question:
The sum of the angle measures of any triangle is 180 degrees. Angle 2 is twice the measure of angle 1. Angle 3 is 15 degrees less than the measure of angle 2. What is the measure of each angle?
Answers
Answer:Angle 1 = 39, Angle 2 = 78 , Angle 3 = 63Step-by-step explanation:78/2 = 39(Angle 2/2 = Angle 1) 78 - 15 = 63(Angle 2 - 15 = Angle 3)39 + 78 + 63 = 180(Angle 1 + Angle 2 + Angle 3 = 180)
Answer:39°, 78°, 63°Step-by-step explanation:let ∠ 1 = x, then∠ 2 = 2x ( twice the measure of ∠ 1 )∠ 3 = 2x - 15 ( 15° less than ∠ 2 )Sum the 3 angles and equate to 180x + 2x + 2x - 15 = 180, that is5x - 15 = 180 ( add 15 to both sides )5x = 195 ( divide both sides by 5 )x = 39Thus∠ 1 = 39°∠ 2 = 2 × 39° = 78°∠ 3 = 78° - 15 = 63°
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