Question

Need help with a math question

Answer 1

24°

Explanation:

see attached

Answer 2

Answer:
`z=24\°`

Explanation:

We need to find the measure of "x":

Based on the figure, we know that:

`48\°+x+x=180\°`

Then, we need to solve for "x". Therefore, its measure in degrees is:

`48\°+2x=180\°\\\\2x=180\°-48\°\\\\2x=132\°\\\\x=(132\°)/(2)\\\\x=66\°`

By definition, the sum of the interior angles of a triangle is 180 degrees. Since we know the measure of "x" and we know that one of the interior angles is a the right angle (an angle that measures 90 degrees), we can conclude that:

`z+90\°+x=180\°`

Substituting the value of "x" into the equation and solving for "z", we get:

`z+90\°+66\°=180\°\\\\z=24\°`