Question

A quadrilateral has three angles that measure 80Á, 110Á, and 75Á. Which is the measure of the fourth angle?Select one of the options below as your answer: A. 50Á B. 90Á C. 95Á D. 125Á

Answer 1

Answer:

C. $95^{\circ}$

Step-by-step explanation:

Let x represent 4th angle of the given quadrilateral.

We have been that a quadrilateral has three angles that measure $80^{\circ}$, $110^{\circ}$ and $75^{\circ}$. We are asked to find the measure of the fourth angle.

We know that all the interior angles of a quadrilateral are equal to 360 degrees, so we can set an equation as:

$x+80^{\circ}+110^{\circ}+75^{\circ}=360^{\circ}$

$x+265^{\circ}=360^{\circ}$

$x+265^{\circ}-265^{\circ}=360^{\circ}-265^{\circ}$

$x=95^{\circ}$

Therefore, the measure of 4th angle is 95 degrees and option C is the correct choice.

Answer 2

Sum of all the angles in Quadrilateral is equal to 360

so, 360 = 80+110+75+x

x = 360-265

x = 95

OPTION C IS YOUR ANSWER.