Given: Two angles form a linear pair. One angle is 22 degrees more than the other.
Required: Measure of the smaller angle.
Explanation:
Let x be smaller angle.
The second angle is 22 degrees more, so second angle is (x+22)
Since they form a linear pair, so their sum is 180 degrees
[tex]\begin{gathered} x+x+22=180 \\ 2x+22=180 \end{gathered}[/tex]Solving further
[tex]\begin{gathered} 2x=158 \\ x=79 \end{gathered}[/tex]So the smaller angle is 79 degrees.
Final Answer: Option D is correct answer.
