Question

The bisectors of any two adjacent angles of a parallelogram intersect at

(a) ${30}^{\circ }$

(b) ${45}^{\circ }$

(c) ${60}^{\circ }$

(d) ${90}^{\circ }$

Answer 1

ANSWER:
(d) 90°
Explanation:
Sum of two adjacent angles = ${180}^o$
Now, sum of angle bisectors of two adjacent angles = $12\times {180}^o={90}^o$
∴ Intersection angle of bisectors of two adjacent angles = ${180}^o-{90}^o={90}^o$