Two lines AB and CD intersect at a point O such that + =280°, as shown in the figure. Find all the four angles.

Question

Two lines AB and CD intersect at a point O such that + =280&#xB0;, as shown in the figure. Find all the four angles.

Philoid · Accepted Answer

=140°,=40°, = 140°, ∠BOD = 40°

Given lines AB and Cd intersect at a point O and + =280°

= (Opposite angle)

⇒ + = 280°

⇒ 2 = 280°

⇒ = 140°

= = 140°

Now,

+ = 180° (Because AOB is a straight line)

⇒ + 140° = 180°

⇒ = 40°

= ∠BOD = 40°