Question

Parallel lines e and f are cut by transversal b. Horizontal and parallel lines e and f are cut by transversal b. At the intersection of lines b and e, the uppercase right angle is (2 x + 18) degrees. At the intersection of lines b and f, the top right angle is (4 x minus 14) degrees and the bottom right angle is y degrees. What is the value of y? 16 50 130 164

Answer 1

It's C. 130

Explanation:

O just did the math and got it right on the test.

Answer 2

Angle y measures 130 degrees

Explanation:

Notice that the angles marked as "2x+18", and "4x-14" must be equal angles since they are generated on the same sector (top right) of the parallel lines by the transverse line "b".

Then by finding the value of "x" we can deduce the value of the actual angle these two angles measure:

`2x+18=4x-14\\18+14=4x-2x\\32=2x\\x=16^o`

Now, we can find the actual value of these two angles, we use for example the first expression:

Top-right angle =
`2\,(16^o)+18^o=50^o`

Now, if these two angles measure
`50^o`, then angle "y" (which is the supplementary angle (angle which added renders
`180^o` ) for them, must equal
`180^o-50^o=130^o`