Question

Given m∠B = 62, m∠C = 54 and line AD bisects ∠BAC, find m∠ADB

Answer 1

THE ANSWER IS: 86 degrees

first find the measure of angle a: since all angles of a triangle add up to 180, add the measures of angle b and angle c then subtract it from 180 to get angle a: 62+54=116, 180-116=64

since we know line AD bisects angle a, we can divide 64 degrees by 2 to find angle BAD: which is 32 degrees

then subtract both 62 and 32 from 180 to get 86 degrees for angle ADB