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Find the value of x for which line a is parallel to line b

Find the value of x for which line a is parallel to line b-example-1

1 Answer

3 votes

Answer:

20

Explanation:

Since we are told that line a is parallel to line b, even if it's not visible in the image, we can say that ∠5 = ∠1, since they are formed by the same line crossing parallel lines.

So, we have

∠4 = 3x

∠5 = ∠1 = 6x

Since ∠4 and ∠5 are complementary angles formed by line t, we know their sum is 180 degrees. So,

∠4 + ∠5 = 180

3x + 6x = 180

9x = 180

x = 20

Answer is 20.

User Dmitrii Dushkin
by
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