if angle abc is congruent to triangle QRP and Angle A is 60 degree and B is 45degree then p?
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Answer:
In an equiangular triangle, all the angles are equal—each one measures 60 degrees. An equiangular triangle is a kind of acute triangle, and is always equilateral. In a right triangle, one of the angles is a right angle—an angle of 90 degrees. A right triangle may be isosceles or scalene
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Given:
ΔABC ≡ ΔQRP
∠A = 60°
∠B = 45°
To find:
The value of ∠P
Calculation:
As both the triangles are congruent, the respective angles in both the traingles will be equal i.e.,
∠Q = ∠A = 60°
∠R = ∠B = 45°
∠P = ∠C
The sum of angles in a triangle is equal to 180°. In ΔQRP
=> ∠Q+∠R+∠P = 180°
60°+ 45°+∠P = 180°
105° + ∠P = 180°
∠P = 75°
The value of ∠P is 75°
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