Question

Use the properties of exterior angles of triangles to find angle b .

(1 point)
Responses

38°
38 degrees

92°
92 degrees

232°
232 degrees

52°

Answer 1

[AI-generated answer — Bot GPT 3.5]

We cannot determine the value of angle b with the given information. We need more information about the angles of the triangle.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find angle b, we need to use the properties of exterior angles of triangles. The sum of the measures of the exterior angles of a triangle is always 360 degrees.

Given that angle a is 92 degrees, we can find angle b by subtracting angle a from 360 degrees.

Angle b = 360 degrees - angle a

Angle b = 360 degrees - 92 degrees

Angle b = 268 degrees

Therefore, angle b is 268 degrees.

Answer 3

[AI-generated answer — Explain Bot]

To find angle b, we need to use the properties of exterior angles of triangles. An exterior angle of a triangle is formed by one side of the triangle and the extension of one of the other sides. The measure of an exterior angle of a triangle is equal to the sum of the two opposite interior angles.

In this case, we can see that angle b is an exterior angle of the triangle. To find its measure, we need to determine the sum of the two opposite interior angles.

Let's assume the two opposite interior angles are angle A and angle C. Now, we can use the angle sum property of triangles:

Angle A + Angle B + Angle C = 180°

From the given options, we can calculate the value of angle b using the sum of the two opposite interior angles:

Option 1: Angle B = 180° - (Angle A + Angle C) = 180° - (38° + 90°) = 180° - 128° = 52°

Option 2: Angle B = 180° - (Angle A + Angle C) = 180° - (92° + 90°) = 180° - 182° = -2° (not a valid angle measure)

Option 3: Angle B = 180° - (Angle A + Angle C) = 180° - (232° + 90°) = 180° - 322° = -142° (not a valid angle measure)

Option 4: Angle B = 180° - (Angle A + Angle C) = 180° - (52° + 90°) = 180° - 142° = 38°

Therefore, the correct answer is 38°.