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Question
In the given figure, angle XOZ and angle ZOY form a linear pair. Find the value of x
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Solution
∠XOZ and ∠ZOY form a linear pair, by property, we have their sum to be 180°
∴ ∠XOZ + ∠ZOY = 180°
∴ 3x – 2 + 5x + 6 = 180°
8x + 4 = 180
8x = 180 – 4
∴ 8x = 176
⇒ x = `176/8`
⇒ x = 22°
XOZ = 3x – 2
= 3 × 22 – 2
= 66 – 2
= 64°
YOZ = 5x + 6
= 5 × 22 + 6
= 110 + 6
= 116°
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