Math, asked by grettaritalobo147, 7 months ago

in the given figure l is parallel to m find x

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Answers

Answered by RajSrivastava1
21

Answer:

65

Step-by-step explanation:

l and m are parallel lines and AC is the transversal

angleACM+angleCAL=180

angleCAL=65

X+50+65=180

X=180-115

X=65

Answered by vinod04jangid
2

Answer:

The final answer x = 55

Step-by-step explanation:

Given,

We have two lines l and m, l is parallel to m ( l || m ).

We have ∠ACM = 115

We also have a triangle ABC in which,

∠BAC = 50

We know that

∠BAC + ∠ABC + ∠ACB = 180 ( Sum of angles in a triangle )

Given ∠ACM = 115,

∠ACM + ∠ACB = 180 ( Two angles in the same point)

∠ACB = 180 - 115

∠ACB = 65

∠ACB + ∠ABC + ∠BAC = 180

∠ABC = 180 - 50 - 65 = 55

x = ∠ABC ( Alternate angles)

x = 65

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