angle PQRS is a parallogram. angle Q=50 degree than find measure of 1 opposite angle and 1 adjacent angle
Answers
Answered by
1
Answer:
P is 130°
Step-by-step explanation:
Q is 50°
R is 130°
S is 50°
hope this helps you
Answered by
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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