Question

Plz help me I forgot How to solve

Answer 1

Given:

A cyclic quadrilateral and two opposite angles of it in the form of y.

To find:

The value of y.

Solution:

We know that, opposite angles of a cyclic quadrilateral are supplementary angles. So, their sum is $180^\circ$.

The measures of opposite angles of cyclic quadrilateral are y and 2y. So,

$y+2y=180^\circ$

$3y=180^\circ$

Divide both sides by 3.

$y=\dfrac{180^\circ}{3}$

$y=60^\circ$

Therefore, the value of y is $60^\circ$.