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In the given ...

Question

In the given figure, ∠ABD = (x-30)°, ∠DBC = (x+50)°, if both the angles form a linear pair, find the value of x.

A

90

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B

80

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C

50

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D

60

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Solution

The correct option is B 80
If two angles form a linear pair, then they are supplementary. Hence, their sum is 180°.
Given, ∠ABD and ∠DBC form a linear pair.
∴ ∠ABD + ∠DBC = 180°
⇒ (x-30)° + (x+50)° = 180°
⇒ 2x + 20 = 180°
⇒ x = 80.

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