Math, asked by shraddharanpise, 2 months ago

angle PQRS is a parallogram. angle Q=50 degree than find measure of 1 opposite angle and 1 adjacent angle​

Answers

Answered by manupatankar
1

Answer:

P is 130°

Step-by-step explanation:

Q is 50°

R is 130°

S is 50°

hope this helps you

Answered by Ladylaurel
41

Answer :-

The opposite angle of ∠Q is 50°

The adjacent angle of ∠Q is 130°.

Step-by-step explanation:

To Find :-

  • The opposite angle of ∠Q
  • The adjacent angle of ∠Q

Solution

Given that,

→ PQRS is a Parallelogram.

→ ∠Q = 50°

According the question,

  • The opposite angle of ∠Q :-

We know, By the property of parallelogram :-

Opposite angles of ||gm are equal.

∴ ∠Q = ∠S = 50° . . . . opposite angles.

  • The adjacent angle of ∠Q :-

We know,

The sum of two adjacent angles of parallelogram measures 180°

Therefore,

∠Q + ∠P = 180°

50° + ∠P = 180°

∠P = 180° - 50°

P = 130°

Hence,

  • The opposite angle of ∠Q is 50°
  • The adjacent angle of ∠Q is 130°.
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