Question

Given l//m, find the value of x in the following figure.​

Answer 1

Answer:

Step-by-step explanation:

i)∠2=55°(vertically opposite angles)

ii)∠1=68°(being alternate angles)

iii)∠1+∠2+∠3=180°(sum of angles of triangle)

 or, 68°+55°+∠3=180°

 or, 123°+∠3=180°

 or, ∠3=180°-123°

 or, ∠3=57°

iv)∠4=∠3(being alternate angles)

 or, ∠4=57°

v)x°+∠4=180°(sum of angles of straight angle)

or, x°+57°=180°

or, x°=180°-57°

or, x°=123°

Answer 2

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