M∠9 = 6x and m∠11 = 120, find the value x so that line c is parallel to line d

Mathematics

1 answer:

ASHA 777 [7]2 years ago

5 0

If line c is parallel to line d, the measure of angle 9 should be the same as angle 11 according to the Corresponding angles postulate. I<span>f a transversal (line b in this case) intersects two lines (lines c and d) and the corresponding angles are congruent, then the lines are parallel.

So now since the m</span>∠11 is 120 and m∠11 is congruent to m∠9 then we can solve for x.

m∠9 = 6x
m∠11 = 120
<span>
6x = 120

Divide both sides by 6 to get x.

6x/6 = 120/6
x = 20

The answer is then A. </span>

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