Q. 164.7( 3 Votes )

# In a cyclic

Answer :

Given: A = (2x+4)°

B =(y+3)°

C = (2y+10)°

D =(4x–5)°

To find: The values of four angles.

Explanation: Opposite angles of a cyclic quadrilateral are supplementary.

A + C = 180°

B + D = 180°

For given angles.

2x + 4 + 2y + 10 = 180

x + y = 83 ……(1)

y + 3 + 4x – 5 = 180

y + 4x = 182 ……(2)

(1) – (2)

x 4x = 83 182

x = 33°

Thus, y = 50°

A = 2x + 4 = 70°

B = y + 3 = 53°

C = 2y + 10 = 110°

D = 4x 5 = 127°

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