If x = 24°, find the measures of angles 1, 2, and 3.
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Given
And, x = 24°.
To find the measures of angles 1, 2, and 3.
Explanation:
It is given that,
That implies,
[tex]\begin{gathered} x+\angle1=90\degree \\ 24+\angle1=90 \\ \angle1=90-24 \\ \angle1=66\degree \end{gathered}[/tex]Also,
[tex]\begin{gathered} \angle2=90\degree \\ \angle3=\angle1 \\ \angle3=66\degree \end{gathered}[/tex]Hence, the measure of the angles, 1, 2, and 3 are
[tex]\angle1=66\degree,\text{ }\angle2=90\degree,\text{ }\angle3=66\degree[/tex]