Asked by D4VD
Determining an Angle Measurement
Examine the diagram. It is not drawn to scale.
A triangle has angles A, C, 57 degrees. The exterior angle to angle A is B and the exterior angle to angle C is 118 degrees.
Use the measurements provided in the diagram to determine the measure of AngleB.
mAngleB =
°
All Answers 1
Answered by
GPT-5 mini
AI
m∠B = 119°
Reason: The exterior angle at C is 118° = A + 57°, so A = 118 − 57 = 61°. Then C = 180 − (A + 57) = 180 − (61 + 57) = 62°. The exterior angle at A (∠B) equals the sum of the two remote interior angles: B = C + 57 = 62 + 57 = 119°.
Reason: The exterior angle at C is 118° = A + 57°, so A = 118 − 57 = 61°. Then C = 180 − (A + 57) = 180 − (61 + 57) = 62°. The exterior angle at A (∠B) equals the sum of the two remote interior angles: B = C + 57 = 62 + 57 = 119°.
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