Question

In the following figure, find the value of ∠BOC, if points A, O and B are collinear.​

Answer 1

Answer:

x-10 +4x-25+x+5=180

6x-30=180

6x=210

x=210/6

x=35

now boc= x+5

=40

Answer 2

Solution:

We have A, O and B are collinear.

∠AOD + ∠DOC + ∠COB = 180° (Sum of adjacent angles on straight line)

(x – 10)° + (4x – 25)° + (x + 5)° = 180°

⇒ x – 10 + 4x – 25 + x + 5 = 180°

⇒ 6x – 10 – 25 + 5 = 180°

⇒ 6x – 30 = 180°

⇒ 6x = 180 + 30 = 210

⇒ x = 35

So, ∠BOC = (x + 5)° = (35 + 5)° = 40°