Question

please help i dont understand​

Answer 1

Given:

A quadrilateral inscribed in a circle.

To find:

The value of x and y.

Solution:

If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.

$5x^\circ+110^\circ=180^\circ$                     [Supplementary angles]

$5x^\circ=180^\circ -110^\circ$

$x^\circ=\dfrac{70^\circ}{5}$

$x^\circ=14^\circ$

The value of x is 14 degrees.

$2y^\circ+104^\circ=180^\circ$                     [Supplementary angles]

$2y^\circ=180^\circ -104^\circ$

$y^\circ=\dfrac{76^\circ}{2}$

$y^\circ=38^\circ$

Therefore, the value of x is 14 degrees and the value of y is 38 degrees.