Answer:
[tex] \boxed{x \degree = 68 \degree} [/tex]
Given:
Measure of three interior angles of a quadrilateral is 55° , 117° and 120°
Step-by-step explanation:
Let the fourth interior angle be 'x'
The Interior Angles of a Quadrilateral add up to 360°
[tex] = > x \degree + 55 \degree + 117 \degree + 120 \degree = 360 \degree \\ \\ = > x \degree + 172 \degree + 120 \degree = 360 \degree \\ \\ = > x \degree + 292 \degree = 360 \degree \\ \\ = > x \degree = 360 \degree - 292 \degree \\ \\ = > x \degree = 68 \degree[/tex]
