Questions: In this trapezoid, how many degrees is angle "x" if B=70 degrees? A 20= B 70 degrees C 110 degrees D 290 degrees

In this trapezoid, how many degrees is angle "x" if B=70 degrees? A 20= B 70 degrees C 110 degrees D 290 degrees
Transcript text: In this trapezoid, how many degrees is angle " $x$ " if $B=70^{\circ}$ ? A $20=$ B $70^{\circ}$ C $110^{\circ}$ D $290^{\circ}$
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Solution

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Solution Steps

Step 1: Identify the relationship between angles _x_ and _B_

Angles _x_ and _B_ are consecutive interior angles between two parallel lines. Therefore, they are supplementary, meaning they add up to 180°.

Step 2: Calculate angle _x_

Since _x_ and _B_ are supplementary, and _B_ is 70°, _x_ can be calculated as follows: x = 180° - 70° = 110°

Final Answer: The final answer is $\boxed{C}$

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