Question

9. . In the figure given alongside, ABC is a straight line. (0) If x = 53º, find y. D 15 (ii) If y=1 right angles, find x
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Answer 1

Answer:

(i) From the figure, ∠ABD + ∠DBC = 180° (Linear pair of angles) ⇒ x + y = 180° ⇒ 53°+ y = 180° (∵ x = 53”) ⇒ y = 180° – 53° ⇒ y = 127° (ii) From figure again, x + y = 180° 1 + 3/2 x 90 = 180° ⇒ x + 1 1/2 right angles = 180° ⇒ x + 3/2 x 90 =180° ⇒ x + 135°= 180° ⇒ x = 180° – 135° ⇒ x = 45°Read more on Sarthaks.com - https://www.sarthaks.com/171974/in-the-given-diagram-abc-is-a-straight-line-i-if-x-53-find-y

Answer 2

${\bold{\red{\sf{x+y=180°}}}}$

${\bold{\red{\sf{x+(\frac{3}{2})90°=180°}}}}$

${\bold{\red{\sf{x+135°=180°}}}}$

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