Question

In the given figure, lines AB and CD intersect at a point O. If a: b is 2: 3, then what is the measure of ∠BOD
options are

54°
72°
100°
105°

Answer 1

Answer:

72

Aoc=Bod (vertically opposite angle)

Bod=2x

Boc=Aod

Aod=3x

sum of all angle =360

aoc+boc+bod+aod=360

2x+3x+2x+3x=360

10x=360

x=360/10

x=36

Bod=2x

=2×36

=72

hope it will help you

Answer 2

Answer:

Step-by-step explanation:

a:b = 2:3 {They are unknown values ao we mark them as 'x'}

= 2x + 3x = 180 (Linear pair)

= 5x = 180

x = 180/5

x = 36°

Now to find the measure of ∠BOD

= ∠BOD = 2x

x = 36 × 2

x = 72° (Vertically opposite angles)

HOPE IT HELPS!!