Question

What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
A) x = 20; 92 degrees
B) x = 40; 88 degrees
C) x = 25; 107 degrees
D) x = 30; 115 degrees

Answer 1

The answer is C) x = 25; 107 degrees

Answer 2

Answer:

The correct option is C.

Step-by-step explanation:

if a transversal line intersect two parallel lines then the sum of two consecutive exterior angles is 180 degrees.

The two consecutive exterior angles are 3x+32 and x+48.

$3x+32+x+48=180$

$4x+80=180$

$4x=180-80$

$4x=100$

$x=25$

The value of x is 25.

The measure of two consecutive exterior angles are

$3x+32=3(25)+32=107$

$x+48=25+48=73$

The measure of the larger angle is 107 degrees.

Therefore the correct option is C.