Question

If the supplement of an angle is two-third of itself.
Determine the angle supplement.

• A. Angle is $108$ and supplement is $72$
• B. Angle is $18$ and supplement is $72$
• C. Angle is $108$ and supplement is $7$
• D. Angle is $108$ and supplement is $70$

Answer 1

Answer: (A)

Angle is $108$ and supplement is $72$

Let the angle be $x$

Atp,

$x+\frac{2x}{3}={180}^{\circ }$

$\frac{5x}{3}={180}^{\circ }$

$x={108}^{\circ }$

Supplement = ${72}^{\circ }$