Question

In Fig. 9.50, what is value of x?
A. 35
B. 45
C. 50
D. 60

Answer 1

Answer:

you can follow the solution ....

d

Answer 2

From figure we have , ∠ABC = 5y°  and ∠ACB = 3y° , ∠CAB = x° and ∠CBD = 7y°

In ∆ABC,  

Since Sum of the angles of a triangle is 180° :  

∠ABC + ∠ACB + ∠CAB = 180°

5y° + 3y° + x° = 180°

8y° + x° = 180° ………..(1)

∠ABC + ∠CBD = 180° [Linear pair]

5y° + 7y° = 180°

12y° = 180°

y = 180°/12

y = 15°

Put this value of y in eq (1), we get

8y° + x° = 180°

8 × 15 + x° = 180°

120° + x° = 180°

x = 180° - 120°

x = 60°

Hence the value of x is 60° .

Among the given options option (D) 60° is correct.

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