Question

Find the measure of APBˆ. A. 130 B. 63 C. 50 D. 230

Answer 1

Answer:

65

Step-by-step explanation:

TAB is an isosceles triangle by the point to tangent theorem theorem.

BAT and BAT are congruent because of the isosceles triangle definition.

CAT and ABT are right angles by the tangent theorem.  

Thus, CAB and CBA are both 90 - 65 = 25.

ACB is 130 because triangles' angles add up to 180.

APB is one half of ACB by the inscribed angles theorem.