Question

What is the measure of the missing angle in the figure below?

Answer 1

Answer: $x=158\°$

Step-by-step explanation:

The picture given in the exercise shows a Quadilateral which has an angle whose measure is unknown.

By definition, the sum of the interior angles of a quadrilateral is 360 degrees.

Knowing this, you can write the following equation:

$24\°+100\°+78\°+x=360\°$

Finally, you must solve for the angle "x" in order to calculate its measure.

This is:

$24\°+100\°+78\°+x=360\°\\\\202\°+x=360\°\\\\x=360\°-202\°\\\\x=158\°$