The supplement of an angle is four times the complement of the angle find the measure of the complement
2 answers:
Answer:
The measure of the complement is 30°
Step-by-step explanation:
we know that
Two angles are supplementary if their sum is equal to 180 degrees
Two angles are complementary if their sum is equal to 90 degrees
Let
x -----> the measure of an angle
we know that
180°-x=4(90°-x)
Solve for x
180°-x=360°-4x
4x-x=360°-180°
3x=180°
x=60°
Find the complement
90°-x=90°-60°=30°
Answer:
30⁰
Step-by-step explanation:
Angle = x
Complement = 90 - x
Supplement = 180 - x
Given :
180 - x = 4 (90 - x)
180 - x = 360 - 4x
3x = 180
x = 60
Complement = 90 - 60 = 30
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