Question

three interior angles of a quadrilateral measure 55°, 117°, and 120°. what is the measure of the fourth interior angle?
68°
78°
88°
98°

Explanation:

Step1: Sum of interior angles of quadrilateral

The sum of interior angles of a quadrilateral is \(360^{\circ}\).

Step2: Calculate the fourth angle

Let the fourth angle be \(x\). Then \(x = 360-(55 + 117+120)\).
First, calculate \(55 + 117+120=292\).
Then \(x = 360 - 292=68\).

Answer:

\(68^{\circ}\) (corresponding to the first option)