Question

In □PQRS side PQ∥ side RS. If m∠P = 108degree

and m∠R = 53degree

, then find m∠Q and m∠S.​

Answer 1

Explanation:

In □PQRS side PQ∥ side RS

so m∠P and m∠S are interior angle pair which add to 180degree

given m∠P = 108degree

m∠S = 180 - 108 = 72degree

similarly m∠R and m∠Qare interior angle pair which add to 180degree

given m∠R = 53degree

m∠S = 180 - 53 = 127degree

Answer 2

Given :-

In □PQRS side PQ∥ side RS. If m∠P = 108degree

and m∠R = 53degree

To Find :-

m∠Q and m∠S.

Solution :-

According to angle sum property

P∠Q=180−∠P

∠Q=180−108

`\boxed{\sf{\angle Q = 72°}}`

For angle S

∠S=180−∠R

∠S=180−53

`\boxed{\sf {\angle S = 127°}}`

`\maltese\bold {lucky75} \maltese`