Question

Two angles of a quadrilateral are of measures 75° and 117° respectively and the other two angles are equal find the measure of each of the equal angles​

Answer 1

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 $x$°, we can set up the following equation:

$x + x + 75^\circ + 117^\circ = 360^\circ$

Now we can solve for $x$:

⇒ $2x + 192^\circ = 360^\circ$

⇒ $2x = 360^\circ - 192^\circ$        [subtracting 192° from both sides]

⇒ $2x = 168^\circ$

⇒ $x = \frac{168^\circ}{2}$                      [dividing both sides by 2]

⇒ $x = \bf84^\circ$

Therefore, the other two angles each have a measure of 84°.