Two angles are supplementary angles if the sum of their measures is 180°. find two supplementary angles such that the measure o

Question

Firdavs [7]

3 years ago

9

Two angles are supplementary angles if the sum of their measures is 180°. find two supplementary angles such that the measure o

f the first angle is 6° less than three times the measure of the second.

Mathematics

1 answer:

suter [353] · Answer 1 · 2022-05-22T05:25:06+03:00

suter [353]3 years ago

7 0

Let the second angle be x.

Second angle = x
First angle = 3x - 6

The sum of the two angles is 180°
x + 3x - 6 = 180
4x - 6 = 180
4x = 186
x = 186 ÷ 4 = 46.5°

Second angle = 46.5°
First angle = 3(46.5) - 6 = 133.5°

Answer: The angles are 46.5° and 133.5°

Two angles are supplementary angles if the sum of their measures is​ 180°. find two supplementary angles such that the measure o

Two angles are supplementary angles if the sum of their measures is 180°. find two supplementary angles such that the measure o