Answer:
Step-by-step explanation:
The sum of interior angles of a quadrilateral is 360°.
If we consider the measure of one of the unknown angles to be [tex]x[/tex]°, we can set up the following equation:
[tex]x + x + 75^\circ + 117^\circ = 360^\circ[/tex]
Now we can solve for [tex]x[/tex]:
⇒ [tex]2x + 192^\circ = 360^\circ[/tex]
⇒ [tex]2x = 360^\circ - 192^\circ[/tex] [subtracting 192° from both sides]
⇒ [tex]2x = 168^\circ[/tex]
⇒ [tex]x = \frac{168^\circ}{2}[/tex] [dividing both sides by 2]
⇒ [tex]x = \bf84^\circ[/tex]
Therefore, the other two angles each have a measure of 84°.
