Answer:
m∠5=22 °
Explanation:
In the diagram:
• Angles 4 and 90 degrees, are ,vertical angles,.
,
• Angles 2 and 68 degrees, are ,vertical angles,.
Since the measure of vertical angles is equal:
[tex]\begin{gathered} m\angle4=90\degree \\ m\angle2=68\degree \end{gathered}[/tex]
In the triangle:
[tex]m\angle2+m\angle4+m\angle5=180\degree\text{ (sum of angles }in\text{ a triangle)}[/tex]
Substitute the measures of angle 2 and 4 obtained earlier:
[tex]\begin{gathered} 90\degree+68\degree+m\angle5=180\degree \\ 158\degree+m\angle5=180\degree \\ Subtract\text{ }158\degree\text{ from both sides of the equation.} \\ m\angle5=180\degree-158\degree \\ m\angle5=22\degree \end{gathered}[/tex]
The measure of angle 5 is 22 degrees.
