Q2 of 12 Page 84

Find the value of x in the following figures.

i. ii.


iii. iv.

(i) From the given figure,


3x + 18° + 93° = 180°


⇒ 3x + 111° = 180°


⇒ 3x = 180°-111°


⇒ 3x = 69°


⇒ x =


∴ x = 24°


(ii) From the given figure,


(x-24)° + 29° + 296° = 360°


⇒ (x-24)° = 360°-325°


⇒ (x-24)° = 35°


⇒ x = 35° + 24°


∴ x = 59°


(iii) From the given figure,


(2 + 3x)° = 62°


⇒ 3x = 62°-2° = 60°


⇒ x =


∴ x = 20°


(iv) From the given figure,


40° + (6x + 2)° = 90°


⇒ (6x + 2)° = 90°-40°


⇒ (6x + 2)° = 50°


⇒ 6x = 50°-2° = 48°


⇒ x =


∴ x = 8°


More from this chapter

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4

What is the angle between two hands of a clock when the time in the clock is

(a) 9’O clock


(b) 6’O clock


(c) 7:00 PM

 1

In the given figure three lines and intersecting at O. Find the values of x, y and z it is being given that x : y : z = 2 : 3 : 5

 3

In the given figure lines and intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE.

 4

In the given figure lines and intersect at O. If ∠POY = 90° and a: b = 2 : 3, find c.