Question

The supplement of angle is one -fifth of itself . Determine the angle and its supplement​

Answer 1

Answer:

Let's assume angle A and its supplement angle as B.

Then, A + B = 180°

Since, angle A is one-fifth of angle B

Therefore, A = B/5

WKT,

A + B = 180°

By substituting A = B/5 we get,

=> B/5 + B = 180°

=> 6B/5 = 180°

=> B = (180° × 5)/6

=> B = 30° × 5

=> B = 150°

Now, calculate the value of angle A by using A = B/5

A = 150°/5

=> A= 30°

Therefore, the measurement of the angle is 30°

Step-by-step explanation:

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