Respuesta :
Answer:
The measure of the angle is 36°
Step-by-step explanation:
Let the measure of angle be x
Supplementary angles : A pair of angles whose sum is 180° is called supplementary angles
So, Supplement of x = 180°-x°
Complementary angles A pair of angles whose sum is 90° is called complementary angles
So, Complement of x = 90°-x°
We are given that Three times the measure of a supplement of an angle is eight times the measure of a complement of the angle
So, 3(180-x)=8(90-x)
540-3x=720-8x
8x-3x=720-540
5x=180
x=36
So, the measure of the angle is 36°
