Question

Find the value of x. Then find the measure of each labeled angle. x°=.......

Answer 1

Explanation:

We can see the labeled angles as the angles of a right triangle:

The sum of the measures of the interior angles of any triangle is 180º. If we have a right triangle, then the sum of the measures of the angles that are not right is 90º:

$\begin{gathered} x+(x-38)=90º \\ x+x-38=90 \\ 2x=90+38 \\ 2x=128 \\ x=\frac{128}{2}=64º \end{gathered}$

We have the measure of the angle at the top: x = 64º.

We can find the measure of the angle at the bottom:

$x-38=64-38=26º$

Answers:

• x = ,64º

,

• x-38 =, 26º