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Angles a and b are supplementary. determine the measure of angle a if the measure of angle b is 115.2°. 244.8° 64.8° 25.2° 11.5°

Sagot :

The measure of angle 'a' is 64.8°.

What is supplementary angles?

Two angles are considered to be supplementary if their sums total 180 degrees.

For instance, angle 130° and angle 50° are supplementary angles since the sum of these two angles is 180°.

The given angle is a = 115.2°.

We have to find the angle 'b' supplementary to the angle 115.2°.

Since, sum of supplementary angles is 180 degrees.

⇒ a + b = 180°

115.2 + b = 180°

Subtract 115.2° from both sides,

b = 180° = 115.2°

b = 64.8°

Hence, the measure of angle 'b' which is supplementary to angle 'a' is 64.8°.

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