Respuesta :
Answer:
Step-by-step explanation:3(180-x)=8(90-x)
540-3x=720-8x
540=720-5x
-180=-5x
36=x
x=36
the angle is 36,supplement is 144,complement is 54.
The angle is 36, the supplement is 144, complement is 54.
What are supplementary angles?
Two angles whose sum is 180° are called supplementary angles.
Two angles whose sum is 90° are called complementary angles.
Given;
The three times the measure of a supplement of an angle is 8 times the measure of a complement of the angle.
So, 3(180-x)=8(90-x)
Solve for x;
540-3x=720-8x
540=720-5x
-180=-5x
36=x
x=36
Hence, the angle is 36, the supplement is 144, complement is 54.
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