Question

If x = 24°, find the measures of angles 1, 2, and 3.

Answer 1

Given

And, x = 24°.

To find the measures of angles 1, 2, and 3.

Step-by-step explanation:

It is given that,

That implies,

`\begin{gathered} x+\angle1=90\degree \\ 24+\angle1=90 \\ \angle1=90-24 \\ \angle1=66\degree \end{gathered}`

Also,

`\begin{gathered} \angle2=90\degree \\ \angle3=\angle1 \\ \angle3=66\degree \end{gathered}`

Hence, the measure of the angles, 1, 2, and 3 are

`\angle1=66\degree,\text{ }\angle2=90\degree,\text{ }\angle3=66\degree`