Math, asked by bhandarigeeta822, 6 months ago

in a right angled triangle, one of the complimentary angles is double the other what are these angles? ​

Answers

Answered by aaryanaashish101
1

Answer:

The angles are 60° and 30°.

Step-by-step explanation:

Sum of angles = 180°

Let angles of the triangle be A, B and C.

Therefore 2B = C ----------> Equation 1

A + B + C = 180°

Angle A = 90° (Right Angled Triangle)

90° + B + C = 180°

B + C = 180° - 90°

B + C = 90° -------------------> Equation 2

Substituting from Equation 1

B + 2B = 90°

3B = 90°

B = 30°

Substituting in Equation 2

30° + C = 90°

C = 90° - 30°

C = 60°

Therefore, the angles are 60° and 30°.

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