Question

In Fig. 8.142, if lines l and m are parallel, then the value of x is
A. 35°
B. 55°
C. 65°
D. 75°

Answer 1

x = 35° , option A is correct

Step-by-step explanation:

lines l and m are parallel, then the value of x is

A. 35°

B. 55°

C. 65°

D. 75°

125 ° = x + 90°   ( exterior angle of Triangle  = Sum of opposite two interior angles)

=> x = 125 ° - 90°

=> x = 35°

x = 35° , option A is correct

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Answer 2

Sum of two interior angle = Opposite exterior angle

$\bf90° + x = 125° \\ \\ \bf x = 125° - 90° \\ \\ \large \underline{\boxed{ \bf \orange {x = 35°}}}$

So the option A. 35° is the right answer