Question

Find the value of \(x\).

x+20N\ 3x+35 o

• A. 37.5^o
• B. 52.5^o
• C. 72.5^o
• D. 75^o

Answer 1

The correct option is B

52.5^o

The angles $\angle$ AOB and $\angle$COB are supplementary angles.

$\therefore$ $\angle$ AOB + $\angle$COB = ${180}^{\circ }$

$\Rightarrow$ $x+25+3x+35={180}^{\circ }$

$\Rightarrow$ $4x+60={180}^{\circ }$

$\Rightarrow$ $4x={120}^{\circ }$

$\Rightarrow$ $x={30}^{\circ }$