Question

Question:Two angles form a linear pair. One angle is 22o more than the other. What is the measure of the smaller angle?Choices:A. 101°B. 97°C. 158D. 79°

Answer 1

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

`\begin{gathered} x+x+22=180 \\ 2x+22=180 \end{gathered}`

Solving further

`\begin{gathered} 2x=158 \\ x=79 \end{gathered}`

So the smaller angle is 79 degrees.

Final Answer: Option D is correct answer.