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Question

Consider the figure:

If ∠A = 50⁰​, ∠B = 70⁰​, and x = 2y, then, the value of x (in degrees) is___.


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Solution

x + y = ∠A + ∠B (Exterior angle property)
= 50​⁰ + 70⁰​
= 120⁰​
3y = 120⁰​ (since x = 2y)
y = 40⁰​
x = 2 × 40⁰ = 80​⁰

Therefore the value of x (in degrees) is 80⁰.

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