Question

In the given figure,2 straight lines AB AND CD interest at 0 . If angle AOD=(5x-20)degree and angle BOC=(2x+16)degree find
a)x
b)angle AOD
C) ANGLE BOC
D)ANGLE BOD
​

Answer 1

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• x = 12°

• ∠BOC = 40°

• ∠AOD = 40°

Step-by-step explanation:

Given

• ∠BOC = 2x + 16

• ∠AOD = 5x - 20

∠BOC = ∠AOD [Vertically Opposite Angles are Equal]

• 》2x + 16 = 5x - 20

• 》2x - 5x = -16 - 20

• 》-3x = -36

• 》 x = -36/-3

• 》x = 12°

∠BOC = 2x + 16 = 2× 12 + 16 = 40°

∠BOC = 40°

∠AOD = 5x - 20 = 5 × 12 - 20

∠AOD = 40°

Add to your Knowledge

What is vertically opposite angles?

Ans: Vertically Opposite Angles are those angle that are formed when two lines meets like a cross and they are equal and they lies opposite to each other.