Question

If the difference of two supplementary angles is ${40}^o$, then the measurement of the greater angle is

• A. ${65}^o$
• B. ${110}^o$
• C. ${130}^o$
• D. ${220}^o$

Answer 1

The correct option is B ${110}^o$

let one anngle be $x$

The other supplementary angle is ${180}^0-x$

$So,$

$180-x-x=40$

$⟹180-2x=40$

$⟹2x=180-40$

$⟹x=70$

$⟹180-x={110}^{\circ }$