Question

In Fig. 8.140, if lines l and m are parallel lines, then x =
A. 70°
B. 100°
C. 40°
D. 30°

Answer 1

$\large\red{ANSWER}$

$angle \: 1 = 70 \: \: \: \: \: (alternate \: angles) \\ angle \: 1 = 30 + x \: \: \: \: (external \: angle \: property) \\ 70 = x + 30 \\ = > x = 70 - 30 \\ = > x = 40$

$\large\blue{=>\:x\:=\:40°}$

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Answer 2

Answer:

40

Step-by-step explanation:

L||M and n cuts them

/_1=70°

/_3=20°

/_4=30°

/_1+/_2=180°

/_2=/_5=110°

/_5+/_3+/_4=180°

110°+x+30°=180°

x=40°

Hence. x = 40°

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