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Find the value of x, y and z in each of the following : |
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Answer» (i) Two lines intersects each other ∴ ∠x = ∠55°, (Vertically opposite angles) ∴ x + z = 180° (Linear pair angle) ⇒ 55° + ∠z = 180° ⇒ ∠z = 180°- 55° = 125° Clearly ∠z = ∠y, (Vertically opposite angles) ⇒ ∠y = 125° ∠x = 55°, ∠y = 125° and ∠z = 125°. (ii) 40° + ∠x + 25° = 180° (Straight angle) ⇒ 65 + ∠x = 180° ⇒ ∠x = 180° – 65° = 115° and ∠y + 40° = 180°, (Linear pair angle) ⇒ ∠y= 180° – 40° = 140° and ∠y + ∠z = = 180°, (Linear pair angle) ∠z = 180°- ∠y = 180°- 140° = 40° ∴ ∠x = 115°, ∠y = 140° and ∠z = 40° |
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