Use the image to answer the question.

Use the properties of exterior angles of triangles to find angle b (1 point)
a. 52
b. 92
c. 232
d. 38

2 answers

Based on the image, angle b is an exterior angle of triangle ACD.

According to the property of exterior angles of a triangle, the measure of an exterior angle of a triangle is equal to the sum of the measures of its two remote interior angles.

In this case, angle b is an exterior angle of triangle ACD, and its two remote interior angles are angle ACD and angle ADC.

From the image, we can see that angle ACD measures 148° and angle ADC measures 44°.

Therefore, the sum of the measures of angle ACD and angle ADC is 148° + 44° = 192°.

Since angle b is equal to the sum of the measures of its two remote interior angles, angle b is also equal to 192°.

Therefore, the correct answer is:

c. 232
C.232
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