Question

in the adjoining figures,pos is a straight line.If angle pos=(2x-5)° and angle SOQ=(3x+15)°, find the measure of angle POS and angle SOQ.​

Answer 1

Answer:

63 and 117 degrees

Step-by-step explanation:

angle POS + angle SOQ= 180 degrees

2x-5+3x+15=180

5x+10=180

5x= 180-10=170

x=170/5

x=34

and Therefore, 2x-5= 2x34-5 =63= angle POS

3x+15= 3x34+15 = 117= angle SOQ