Question

In the given figure ◆ MNOP is a cyclic quadrilateral . If angle P = 4x +12 , and angle N =3 + 28 then find the value of x and also the measures of angle P and angle N.

Answer 1

HLO THERE

IN A CYCLIC QUADRILATERAL. OPPOSITE SIDES ARE SUPPLEMENTARY

THEREFORE. 4x+12+3x+28=180
7x=140

therefore X=20. ______


therefore angle P=4×20+12
=92°

angle N= 3×20+28
=88°

for any query comment down

Answer 2

Answer:

Step-by-step explanation:

In a cyclic quadrilateral

the opposite angles add up to 180 or are supplementary.

Therefore,angle P +Angle N=180

4x+12+3x+28=180

7x+40=180

7x=140

X=20

Angle N=88

Angle P=92.