Question

In a parallelogram, the sum of the angle bisectors of two adjacent angles is ___________.

• A. ${30}^o$
• B. ${45}^o$
• C. ${60}^o$
• D. ${90}^o$

Answer 1

Answer: (D)

${90}^o$

To find:

$\frac{A}{2}+\frac{B}{2}$

In a parallelogram,

We Know that sum of adjacent angle is ${180}^{\circ }$

So,

$A+B={180}^{\circ }$

By dividing both side by $2$ we get,

$\therefore \frac{A}{2}+\frac{B}{2}=\frac{{180}^{\circ }}{2}$

Hence, $\frac{A}{2}+\frac{B}{2}={90}^{\circ }$