Question

Solve for x to make A║B.

Answer 1

35

Explanation:

Before we solve this, we define how parallel angles work. 2 angles in the same quadrant (in this case, southwest quadrant) have equal measures. The two angles are in the same quadrant, so in order for a to be parallel to b, x + 70 = 2x + 35. So, x=35.

Answer 2

• x = 35 makes A and B parallel

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In order to make lines A and B parallel, corresponding angles that are marked as x + 70 and 2x + 35 must be congruent.

Set up equation and solve for x:

• x + 70 = 2x + 35
• 2x - x = 70 - 35
• x = 35