Question

in each diagram, line k is parallel to line l, and line t intersects line k and l.

based on the diagram, which statement is true ?
A) the value of x is 45, Because the angles shown in each diagram are congruent
B) the value of x is 135, because the angles shown in each diagram are congruent
C) the value of x is 135, because the angles shown in each diagram are supplementary
D) the value of x is 135, because the angles shown in each diagram are complementary​

Answer 1

Answer:

D) the value of x is 135, because the angles shown in each diagram are complementary​

Step-by-step explanation:

Each diagram has 2 angles labeled, and those two angles are always supplementary. The sum of the measures of two supplementary angles is 180°.

x + 45 = 180

x = 180 - 45

x = 135

Answer: D) the value of x is 135, because the angles shown in each diagram are complementary​