Question

If $\angle$e : $\angle$b : $\angle$c = 2 : 1 : 3 and AE is a straight line. What will be the value of $\angle$c?

• A. ${30}^{\circ }$
• B. ${60}^{\circ }$
• C. ${90}^{\circ }$
• D. ${85}^{\circ }$

Answer 1

The correct option is C

${90}^{\circ }$

Given $\angle$e : $\angle$b : $\angle$c = 2 : 1 : 3 = 2x : x : 3x
2x + x + 3x = ${180}^{\circ }$
$6x={180}^{\circ }$
$x={30}^{\circ }$
$\angle$c=${90}^{\circ }$