Question

Two consecutive angles of a parallelogram are in the ratio $1:3$, then the smaller angle is :

• A. ${50}^{\circ }$
• B. ${90}^{\circ }$
• C. ${60}^{\circ }$
• D. ${45}^{\circ }$

Answer 1

Answer: (D)

${45}^{\circ }$

The sum of the consecutive angles is ${180}^o$ in a parallelogram so now. Let the angles be $x.$ So, $x+3x={180}^o$

$\Rightarrow 4x={180}^o$

$\therefore x={45}^o.$

$\therefore$ Smallest angle $={45}^o$ and largest angle $=3x={135}^o.$

Hence, the answer is ${45}^o.$