Question

If an angle is equal to one third of its supplement, its measure is equal to

• A. ${40}^{\circ }$
• B. ${50}^{\circ }$
• C. ${45}^{\circ }$
• D. ${55}^{\circ }$

Answer 1

The correct option is C ${45}^{\circ }$

Let angle be $x$

Supplement = $180-x$

(Given) = $x=\frac{1}{3}(180-x)4x=180$

$x={45}^{\circ }$