Question

In the adjacent figure ZA = 50°. If BD and CD are angle bisectors of ZABC and ZACB respectively, find the measure of ZBDC.​

Answer 1

Answer:

115

Explanation:

Let b be ZDBC and c be ZDCB.

Because DB is an angle bisector, ZABC is 2b

Because DC is an angle bisection, ZACB is 2c

2b + 2c = 180- 50 = 130

b + c = 65

All internal angles of triangle DBC is 180

ZBDC is 180 - (b +c) = 180- 65 = 115