Atransversal intersects two parallel lines. the measures of a pair of alternate interior angles are 5v and 2w. the measures of a pair of same-side exterior angles are
10w and 5v. what are the values of wand v?

The value of v is 6° and the value of w is 15°

Step-by-step explanation:

we know that

When parallel lines are cut by a transversal line, the same-side exterior angles are supplementary and each pair of alternate interior angles is equal in measure

so

5v=2w > equation A

10w+5v=180 > equation B

substitute equation A in equation B and solve for w

10w+(2w)=180

12w=180

w=15°

Find the value of v

5v=2w > v=2w/5

v=2(15)/5=6°

therefore

The value of v is 6° and the value of w is 15°

312312

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b