Question

An angle measures 168° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

• What is supplementary angle ?

• When sum of two angles is 180°, then each of those two angles will be considered to be the supplementary angle of each other.Example : 150° and 30° are two angles, and their sum is 180°. So, 150° and 30° are supplementary angles.

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Explanation :-

It's given an angle measures 168° more than the measure of its supplementary angle. We are asked to find measure of each angle!

• Let, one of the supplementary angle be "x" . Then the other angle becomes " (x + 168)° "

Sum of these two angles is equal to 180° . Since they are supplementary angles.

$\qquad$ $\bf{\underline{\underline{\sf According\ to\ the\ question:-}}}$

$\qquad$$\pink{\bf \twoheadrightarrow {x\ +\ x\ +\ 168^\circ\ =\ 180^\circ} }$

$\qquad$$\sf \twoheadrightarrow 2x + 168^\circ= 180^\circ$

$\qquad$$\sf \twoheadrightarrow 2x = 180^\circ - 168^\circ$

$\qquad$$\sf \twoheadrightarrow 2x = 12^\circ$

$\qquad$$\sf \twoheadrightarrow x = \cancel{\dfrac{12^\circ}{2}}$

$\qquad$$\pink{\bf \twoheadrightarrow x = 6^\circ }$

Then –

$\qquad$$\bf \longrightarrow x +168^\circ$

$\qquad$$\tt \longrightarrow 6^\circ+ 168^\circ$

$\qquad$$\tt \longrightarrow 174^\circ$

• The measures of the two given angles are 6° and 174°.

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Answer 2

The measure of each angle are 174 and 6 degrees.

What are the measure of each angle?

A supplementary angle are angles that add up to 180 degrees. For example 150 and 30 degrees are supplementary angles.

Let x represent the smaller angle.

The larger angle = 168 + x

the two angles have a value of 180

Thus, x + 168 + x = 180

2x = 180 - 168

2x = 12

x = 6

Larger angle = 6 + 168 = 174

To learn more about supplementary angles, please check: https://brainly.com/question/2766460