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