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

and m∠R = 53degree

, then find m∠Q and m∠S.​

Respuesta :

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

[tex]\boxed{\sf{\angle Q = 72°}}[/tex]

For angle S

∠S=180−∠R

∠S=180−53

[tex]\boxed{\sf {\angle S = 127°}}[/tex]

[tex]\maltese\bold {lucky75} \maltese[/tex]

Ver imagen lucky75

Answer:

Step-by-step 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