Question

find the value of x in each of the following figures if l||m​

Answer 1

Answer:

i) x = 110°

ii) x = 100°

Step-by-Step Explanation:

In figure (i):

L || m and t is the transversal,

Thus, x = 110° ....... (Alternate Interior Angles)

In figure (ii):

L || m and b is a transversal,

Thus, x = 100° .........(Exterior Angle Property)

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Answer 2

Answer:

$in \: first \: \\ angle1 = angle2 = 110 \\ (corresponding \: angles) \\ angle1 + x = 180 \\ (linear \: pair) \\ 110 + x = 180 \\ x = 180 - 110 \\ x = 70 \\ \\ in \: second \\ angle \: 1 = x = 100 \\ (corresponding \: angles)$