Question

In the Quadrilateral BELT, ∠B = 80°, ∠E = 100°, ∠L = 120° then ∠T = ……………… 

A) 90° 

B) 40°

C) 70° 

D) 60°

Answer 1

Correct option is (D) 60°

Sum of angles in a quadrilateral is \(360^\circ.\)

\(\therefore\) In quadrilateral BELT,

\(\angle B+\angle E+\angle L+\angle T\) \(=360^\circ\)

\(\Rightarrow\) \(80^\circ+100^\circ+120^\circ+\angle T=360^\circ\)

\(\Rightarrow\) \(300^\circ+\angle T=360^\circ\)

\(\Rightarrow\) \(\angle T=360^\circ-300^\circ=60^\circ\)

Answer 2

Correct option is  D) 60°