The value of x in the given diagram is
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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