Question

An angle is equal to five times its supplement. Determine its measure.​

Answer 1

Answer:

150°

Step-by-step explanation:

Given,

An angle is 5 times its supplement

Let the angle be a and its supplement be b

Then, a=5b........(1)

As, a and b are supplementary

∴a+b=180°

According to question,

a+b=180

⇒a+b=5b+b=6b=180

⇒6b=180

⇒b=30

∵a=5b

∴a=5⋅30°

⇒a=150 °

Hence, the answer is option C.

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