Question

The measure of an angle’s supplement is 72 degrees less than the measure of the angle. Find the measure of the angle and its supplement. please answer ASAP

Answer 1

Answer:

Step-by-step explanation:

Let the measure of the angle be x

and the supplement be y.

Since they are supplementary angles,

supplement (y) = 180º - x     —————— (1)          (∵x + y = 180º)

given,

⇒ x - y = 72

⇒ x - (180 - x) = 72         [∵from (1)]

⇒ x - 180 + x = 72

⇒ x + x = 72 + 180

⇒ 2x = 252

⇒ x = $\frac{252}{2}$

⇒ x = 126º

⇒ y = 180 - x = 180 - 126 = 54°

∴ The angle is 126° and the supplement is 54°.

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