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20 in the following figure, what is the value of y? 120° 6y° a 120 b 10…

Question

20 in the following figure, what is the value of y? 120° 6y° a 120 b 10 c 60 d 20

Explanation:

Step1: Identify angle - relationship

The two angles \(120^{\circ}\) and \(6y^{\circ}\) are corresponding angles. For parallel lines (implied by the figure setup), corresponding angles are equal.
So, \(6y = 120\).

Step2: Solve for \(y\)

Divide both sides of the equation \(6y = 120\) by 6. We get \(y=\frac{120}{6}=20\).

Answer:

D. 20