Question

The angle which makes a linear pair with an angle of \(61^{\circ}\) is :

• A. \(29^{\circ}\)
• B. \(61^{\circ}\)
• C. \(119^{\circ}\)
• D. \(122^{\circ}\)

Hint:

Linear pair angles always sum to \(180^{\circ}\).
To subtract \(61\) from \(180\) quickly in your head, subtract \(60\) first to get \(120\), then subtract \(1\) to get \(119^{\circ}\).

Answer 1

The Correct Option is C

Step 1: Recall what a linear pair means.
Two angles form a linear pair when they sit side by side on a straight line, and a straight line always measures $180^{\circ}$, so the two angles must add up to that.
Step 2: Let the unknown angle be x and write the equation. \[ x + 61^{\circ} = 180^{\circ} \]
Step 3: Solve for x. \[ x = 180^{\circ} - 61^{\circ} = 119^{\circ} \] \[ \boxed{119^{\circ}} \]