Question

Question

The two angles shown are supplementary. Find the measure of angle x.



(1 point)
Responses

17°
°
17degree

73°
°
73degree

107°
°
107degree

163°
°
163degree

Answer 1

To find the measure of angle x, we need to use the property of supplementary angles which states that the sum of two supplementary angles is 180 degrees.

Let's denote the measure of angle x as a variable, say m.

Given that the two angles are supplementary, we can set up the following equation:

m + 117° = 180°

To solve for m, we need to isolate it on one side of the equation.

Subtracting 117° from both sides of the equation, we get:

m = 180° - 117°

Simplifying the right side of the equation:

m = 63°

Therefore, the measure of angle x is 63 degrees.