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The value of x in the given diagram is
Question

The value of x in the given diagram is

A.

60o60^o​​

B.

80o80^o​​

C.

120o120^o​​

D.

None of these

Correct option is B

Given:

∠ABC = 40°

∠DCA = 120° (Exterior angle at C)

∠BAC = x (Angle at vertex A of triangle ABC)

Concept Used:

Exterior Angle Theorem — The exterior angle of a triangle is equal to the sum of the two opposite interior angles.

Solution:

∠DCA = ∠A + ∠B

120° = x + 40°

x = 120° - 40°

x = 80°

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