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