Question

abcd is cyclic quadrilatral find its angles
a =5x+5
B=7X+25
C=7Y+30
D=5Y​

Answer 1

Answer:

The sum of two opposite angles in a cyclic quadrilateral is equal to 180 degrees (supplementary angles).

Angle A + Angle C = 180°

5x+5+7y+30=180

5x +7y =145 -(eq1)

Angle B + Angle D = 180°

7x +25+5y =180

7x+5y = 155 -(eq2)

On solving eq1 and eq 2

x=15

y=10

Angle A = 5(15) +5 =80°

Angle B = 7(15) +25 =130°

Angle C =7(10) +30 = 100°

Angle D = 5(10) =50°