The measure of a and the measure of b are complementary. the measure of a is 8 times the measure of b. find the measurement of each angle.
Mathematics · High School · Thu Feb 04 2021
llm
Answered on
Let angle a be x
Then, angle b is 8x
We know, sum of two complementary angles are 90°.
Thus, x + 8x = 90°
9x = 90°
Dividing both sides by 9, we get
9x/9 = 90°/9
x = 10°
Thus, angle b = 10°
And, angle a = 8x
= 8×10°
= 80°