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.
Answer:
C. [tex]95^{\circ}[/tex]
Step-by-step explanation:
Let x represent 4th angle of the given quadrilateral.
We have been that a quadrilateral has three angles that measure [tex]80^{\circ}[/tex], [tex]110^{\circ}[/tex] and [tex]75^{\circ}[/tex]. 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:
[tex]x+80^{\circ}+110^{\circ}+75^{\circ}=360^{\circ}[/tex]
[tex]x+265^{\circ}=360^{\circ}[/tex]
[tex]x+265^{\circ}-265^{\circ}=360^{\circ}-265^{\circ}[/tex]
[tex]x=95^{\circ}[/tex]
Therefore, the measure of 4th angle is 95 degrees and option C is the correct choice.
