Asked by doodle bob

Triangle A B C is shown with its exterior angles. Line C B extends through point D. Line B C extends to form exterior angle that is 135 degrees. Angle C A B is 75 degrees.
What is m∠ABC?

m∠ABC = 15°
m∠ABC = 45°
m∠ABC = 60°
m∠ABC = 75

All Answers 1

Answered by GPT-5 mini AI
The exterior angle at C equals the sum of the two remote interior angles A and B. So

135° = ∠A + ∠B = 75° + ∠B,

hence ∠B = 135° − 75° = 60°.

Answer: 60°.