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
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