in ∆ PQR <P = 37° , <Q = 56° then < R = ?
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Answers
Answered by
1
Answer:
37°+56°+X=180(triangle)
=X=180-37°-56°
=x°=87°
Step-by-step explanation:
checking
37°+56°+87=180°
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Answered by
17
Given:-
- In ∆PQR ∠P is 37°.
- And ∠Q is 56°.
To find:-
- Measure of ∠R
Solution:-
We know that,
Sum of all interior angles of triangle is equal to 180°. This property is also known as 'Angle sum property of triangle'.
So,
➔ ∠P + ∠Q + ∠R = 180°
➔ 37° + 56° + ∠R = 180°
➔ 93° + ∠R = 180°
➔ ∠R = 180° - 93°
➔ ∠R = 87°
Verification:-
➔ ∠P + ∠Q + ∠R = 180°
➔ 37° + 56° + ∠R = 180°
- Put ∠R = 87°
➔ 37° + 56° + 87° = 180°
➔ 180° = 180°
Hence, Verified.
Therefore,
∠R is of 87°.
____________________
More information:-
- Above triangle is an Scalar triangle beacuse it's all angles are unequal.
- If it's all angles will equal then It will be equalitral triangle.
- If it's two angles will equal then it will be Isosceles triangle.
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