Question

In the following figure find the measure of

Answer 1

angle APB is congruent to angle OBP....... isosceles triangle theorem
therefore angle APB congruent angle abc is equal to 42 degrees
Angle BOQ = exterior angle of triangle POB

therefore angle o p b + angle pbo is equal to angle q o b=42+42=84


in triangle abc angle obq is congruent oqb
...... isosceles triangle theorem

measure of all angles of a triangle is 180 degrees

therefore in triangle 0bq 180 degrees = angle A + Angle B + angle q

but angle b is equal to angle q
therefore 180 degrees= angle o + angle b + angle b
180=84 +2b
b=(180-84)/2=48
measure angle oqb is equal to 40 Degrees

Answer 2

Answer:

Step-by-step explanation:

Angle pqb = 48