Question

Examine the lines that are cut by transversals to determine the measure of angle 1.

What is the measure of angle 1?
m <1= ?
1) 48
2) 59
3) 73
4) 132

Why?
A) It is adjacent to the 48-degree angle
B) It is an alternate exterior angle to the 48-degree angle
C) It corresponds to the 48-degree angle
D) It is supplementary to the 48-degree angle

Answer 1

1) 48

C) It corresponds to the 48-degree angle

Explanation:

k║l

1) <1 = 48

because corresponding angles are equal

Why?

C) It corresponds to the 48-degree angle

Answer 2

1) 48 and C) It corresponds to the 48-degree angle.

Explanation:

Seeing the parallel lines k and l, and the transversal line m, we have that 48° and angle 1 are corresponding angles because k and l are parallel, then, the angle formed with the same transversal line will have the same measure.

So, the measure of angle 1 is 48 (option 1) and the reason is C) It corresponds to the 48-degree angle.