Question

In the given figure (see fig. 3), two straight lines PQ and RS intersect each
other at O. If the measure of ∠POT = 75°, find the values of a, b, c.

Answer 1

Answer:

Angle A=84°, B=21°, C=48°

Step-by-step explanation:

4b+75+b=180

5b=180-75

5b=105

b=105/5

<b=21°

75+b+a=180°

75+21+a=180°

a=180°-96

<a=84°

2c+a=180°

2c+84=180°

2c=96

c=96/2

<c=48°