JoudC128807 JoudC128807
  • 04-11-2022
  • Mathematics
contestada

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

If x 24 find the measures of angles 1 2 and 3 class=

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LowenD408027 LowenD408027
  • 04-11-2022

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]

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