Use the image to answer the question.

Use the properties of exterior angles of triangles to find angle b.
(1 point)
Responses

92°
92 degrees

38°
38 degrees

52°
52 degrees

232°
232 degrees
Skip to navigation
Highlight

To find angle b, we need to use the property that 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 ABC. So, we can find angle b by adding the measures of angles A and C.
From the image, we can see that angle A measures 52 degrees and angle C measures 38 degrees.
Therefore, angle b = angle A + angle C = 52° + 38° = 90°.
So, the answer is 90 degrees.
To find angle b using the properties of exterior angles of triangles, we can start by noting that an exterior angle of a triangle is equal to the sum of the two remote interior angles. In this case, angle b is the exterior angle, and the two remote interior angles are marked as 92° and 38° in the image.
To find angle b, we can add the given interior angles together:
92° + 38° = 130°
Therefore, angle b is equal to 130°.
To find angle b, we can use the property that the sum of the measures of the exterior angles of a triangle is always 360 degrees.
Since angle b is an exterior angle of the triangle, it is equal to the sum of the measures of angles a and c.
From the image, we can see that angle a measures 92 degrees, and angle c measures 52 degrees.
Therefore, angle b = angle a + angle c = 92 degrees + 52 degrees = 144 degrees.
Therefore, the answer is 144°.