NIELIT 2021 Dec Scientist B - Section A: 26

Question

In a parallelogram $\text{ABCD, AP}$ and $\text{BP}$ are the angle bisectors of $\angle \text{DAB}$ and $\angle \text{ABC}.$Find $\angle \text{APB} :$

• A. $85^{\circ}$
• B. $90^{\circ}$
• C. $94^{\circ}$
• D. $86^{\circ}$

Comments

Option (B), please verify.

Answer 1

sum of adjacent angles in //gram is 180 . 1 + 2 + 3 + 4 = 180 

angle bisector divede angle in equal parts so 1= 2 and 3 =4 

twice of 1 + twice of 3 = 180 

1 +3 =90 

so angle APB is 90 OPTION B