Problema Solution

in triangle ABC, Measure of angle a is 65 degrees. and the measure of an exterior angle at C is 117 degrees. Find measure of angle B and the measure of BCA.

Answer provided by our tutors

A = 65


exterior at C is 117 this means that C = 180 - 117 = 63 degrees that is the angle BCA = 63 degrees


since A + B + C = 180 as angles in a triangle


B = 180 - (A + C)


B = 180 - (65 + 63)


B = 52 degrees


the angle B is 52 degrees.

the angle BCA is 63 degrees.