One angle of a right angled triangle is 35 degree . Find the other angle
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Answer:
55 degree is the third angle of the triangle
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The other angle is 55°
Explanation:
Given:
1. One angle of a right-angled triangle is 35°
To find:
The other Angle
Formula:
The sum of the angles of a triangle = 180°
∠A+∠B+∠C = 180°
Solution:
==> ∠A+∠B+∠C = 180°
==> ∠A = 35°
==> In a Right-angled Triangle
==> One angle is 90°
==> ∠B = 90°
==> Find the Third Angle
==> 35° +90°+∠C = 180°
==> 125° + ∠C = 180°
==> ∠C = 180°-125°
==> ∠C = 180°-125°
==> ∠C = 55°
==> The other angle is 55°
==> Sum of the angles = 180°
==> 35°+55°+90° = 180°
==> 90°+90° = 180°
==> 180° = 180°
==> Hence proved
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