Question

In a $△ABC,$ angles $A,B$ and $C$ are in the ratio $1:1:2$. Then, the measure of $\angle C$ is :

• A. ${45}^o$
• B. ${90}^o$
• C. ${135}^o$
• D. ${180}^o$

Answer 1

Answer: (B)

${90}^o$

Let the angles be $x,x,$ and $2x$

Using angle sum property

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

$4x={180}^{\circ }$

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

$\angle C=2x$$=2\times {45}^{\circ }={90}^{\circ }$