Question

Calculate the measure of angle QHI if angle GHQ = 30 and angle GHI = 158.

Answer 1

To find the measure of angle QHI, subtract the sum of angle GHQ (30 degrees) and angle GHI (158 degrees) from 360 degrees. The measure of angle QHI is 172 degrees.

Step-by-step explanation:

You are asked to calculate the measure of angle QHI, given that angle GHQ equals 30 degrees and angle GHI equals 158 degrees. In a geometric figure, the sum of angles around a point is 360 degrees. Therefore, to find the measure of angle QHI, we subtract the sum of the given angles from 360 degrees:

Angle QHI = 360 - (angle GHQ + angle GHI)

Angle QHI = 360 - (30 + 158)

Angle QHI = 360 - 188

Angle QHI = 172 degrees.

Hence, the measure of angle QHI is 172 degrees.