Question

PQRS is cyclic. angle p=3x, angle Q=y, angle R=x, angle S=5y.find the angles.
a) draw circle, mark P, Q, R, S ON IT, complete PQRS.
b)enter the given angles
c)what is 3x+x? find x
d)what is y+5y.find y
e)find the angles.​

Answer 1

PQRS is a Cyclic Quadrilateral, in which it is inscribed in a circle and each pair of opposite angles of quadrilateral is equal to 180°.

In part(a) you have to first draw a circle of any radius.

Second, you will construct a quadrilateral PQRS inside the circle only whose vertices should lie on the circle

where,

Angle(P)=135°,

Angle(Q)=30°,

Angle(R)=45° and

Angle(S)=150°

You can use the protractor or D

Hopefully it will help you.