Question

In the given figure PQ and RS intersect each other at point Q.If angle POS = 35°, then find the measure of each angle​

Answer 1

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Answer 2

Step-by-step explanation:

question:

PQ and RS intersect each other at point Q.If angle POS = 35°, then find the measure of each angle

to find:

the measure of each angle

solution:

given:

POS=35°

POS=QOR=35°

{because they are vertically opposite angles}

• sum of angles on a line =180°

let QOS= x

equation:

POS+QOS=180°

35+x=180

x=180-35

x=145

• QOS=x

ROP=QOS=x=145°

{because they are vertically opposite angles}

• ROP=145°
• ROP=145°
• POS = 35°
• QOR=35°

check:

145°+145°+35°+35°=360°

180°+180°=360°

360°=360°

LHS=RHS

hence ,answer is verified