jonjonpruett jonjonpruett

21-06-2021
Mathematics

contestada

Angle A and B are supplementary. If the measure of a = 6x+17 and the measure of b = 3x+10, find the measure of a

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jimrgrant1 jimrgrant1

21-06-2021

Answer:

∠ a = 119°

Step-by-step explanation:

Supplementary angles sum to 180° , then

6x + 17 + 3x + 10 = 180, that is

9x + 27 = 180 ( subtract 27 from both sides )

9x = 153 ( divide both sides by 9 )

x = 17

Then

∠ a = 6x + 17 = 6(17) + 17 = 102 + 17 = 119°

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