Question

Find the value of x. The diagram is not drawn to scale.

Answer 1

Answer:

C. $x=99^{\circ}$

Step-by-step explanation:

We have been given a image. We are asked to find the value of x.

We can see that our given figure is a quadrilateral. We know that all interior angles of a quadrilateral add up-to 360 degrees.

$x^{\circ}+y^{\circ}+125^{\circ}+72^{\circ}=360^{\circ}$

We can see that y and 116 degrees angles are linear angles, so we can set an equation as:

$y^{\circ}+116^{\circ}=180^{\circ}$

$y^{\circ}+116^{\circ}-116^{\circ}=180^{\circ}-116^{\circ}$

$y=64^{\circ}$

Substitute $y=64^{\circ}$ in the equation:

$x^{\circ}+y^{\circ}+125^{\circ}+72^{\circ}=360^{\circ}$

$x^{\circ}+64^{\circ}+125^{\circ}+72^{\circ}=360^{\circ}$

$x^{\circ}+261^{\circ}=360^{\circ}$

$x^{\circ}+261^{\circ}-261^{\circ}=360^{\circ}-261^{\circ}$

$x^{\circ}=99^{\circ}$

$x=99$

Therefore, the value of x is 99.