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:
[tex]\begin{gathered} x+(x-38)=90º \\ x+x-38=90 \\ 2x=90+38 \\ 2x=128 \\ x=\frac{128}{2}=64º \end{gathered}[/tex]
We have the measure of the angle at the top: x = 64º.
We can find the measure of the angle at the bottom:
[tex]x-38=64-38=26º[/tex]
Answers:
• x = ,64º
,
• x-38 =, 26º
