Question

The measure of angle WZQ is 92°.

What is the measure of angle QZX?

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a
°
Angle W Z Q. Ray Z X is drawn between ray Z W and Z Q. Angle W Z X is labeled 63 degrees. Angle Q Z X labeled with a question mark.

Answer 1

To find the measure of angle QZX, we need to use the fact that the sum of the angles in a triangle is 180 degrees.

First, we can find the measure of angle ZWQ:

Angle WZQ + Angle WZX = 180 degrees

92 degrees + 63 degrees = 155 degrees

Therefore, angle ZWQ has a measure of 155 degrees.

Now, we can find the measure of angle QZX:

Angle ZWQ + Angle QZX = 180 degrees

155 degrees + Angle QZX = 180 degrees

Subtracting 155 from both sides, we get:

Angle QZX = 25 degrees

Therefore, the measure of angle QZX is 25 degrees.