Question

if quadrilateral MRPN is cyclic, angle R is (5x- 13) and angle N is (4x +4) then find the measure of angle R and angle N ​

Answer 1

By the property of cyclic quadrilateral,

Opposite angles of the cyclic qaudrilateral are supplementary

(5x-13)+(4x+4)=180

9x-9=180

9x=180+9

9x=189

x=21......(dividing both sides by 9)

Substituting the values,

1.Angle R = 5x-13

= 5×21-13

= 105-13

= 92°

2.Angle N= 4x+4

=4×21+4

=84+4

=88°

Answer 2

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