IF AN ANGLE IS THREE FIFTH OF ITS SUPPLEMENT FIND THE MEASURE OF THE TWO ANGLES
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Answer:
Answer: An angle which is one-fifth of its supplement is 30°
Let's evaluate the following
Explanation:
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°
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