Question

Two angles are making a linear pair. If one of them is one third of the other, find the angles.

• A. ${45}^{\circ }$
• B. ${55}^{\circ }$
• C. ${135}^{\circ }$
• D. ${125}^{\circ }$

Answer 1

Answer: (A), (C)

The correct options are
A ${45}^{\circ }$
C ${135}^{\circ }$

Let one of the angles be x.
Then the other angle $=({180}^{\circ }-x)$
According to the problem,
$x=\frac{1}{3}({180}^{\circ }-x)$
Or, $3x={180}^{\circ }-x$
Or, $4x={180}^{\circ }$
Or, $x={45}^{\circ }$
And the other angle is, ${180}^{\circ }-{45}^{\circ }={135}^{\circ }$