Question

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

Answer:

130

Step-by-step explanation:

From the FIQURE of the question, we can see that line "e" is parallel to line "f" then we can say (2x + 18)=( 4x - 14)

Then we can collect like terms

2x-4x= -14-18

-2x=-32

The negatives cancelled out we have

x = 16

From the question, At the intersection of lines b and f, the top right angle is (4 x minus 14) degrees

Angle on a straight line is 180° then we can calculate "y" as

y = 180 - (4x - 14)

= 180-4x+14

= 180+14-4x

But x= 16, then substitute we have

= 180 +14 - 14(16)

= 130

Hence, the value of y is 130

CHECK THE ATTACHMENT FOR THE FIQURE