Question

In Fig. 8.138, if lines l and m are parallel, then x =
A. 20°
B. 45°
C. 65°
D. 85°

Answer 1

Answer:

C. 65°

Step-by-step explanation:

l II m

The diagram may confuse you,

but the only possibility for the question is this:

As l II m,

∠x = 65°        (Corresponding angles)

Good luck <3

Answer 2

Answer:

45

Step-by-step explanation:

/_ 1 = 65

/_ 2 = 20

/_ 3 = x

l || m and n cuts them

/_ 1 +/_ 4 =180°

65°+ /_4 = 180°

/_4=115°

/_4=/_5=115°(vertically opposite angle)

/_2+/_5+/_3=180°

20+115+x=180

x+135=180

x=180-135=45

x=45°

Hence x = 45°

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