Question

If I parallel to m in the figure , find the measure of x in the following​

Answer 1

Answer:

x is 54°.

Step-by-step explanation:

To find : Measure of x.

We know,

✿ Sum of all angles forms on straight line are equal to 180° or we can say linear pair.

$\longrightarrow$ 126° + ∠1 = 180°

$\longrightarrow$ ∠1 = 180° - 126°

$\longrightarrow$ ∠1 = 54°

✿ When two parallel lines intersect by an transversal then two angles forms on opposite sides of transversal are equal or we can say this property "Alternate angle" .

So,

$\longrightarrow$ ∠1 = x

$\longrightarrow$ ∠1 = 54°

$\longrightarrow$ x = 54°

Thus,

Measure of x is 54°

Answer 2

EXPLANATION:-

Let's draw an angles =∠1 (in figure)

126° + ∠1 = 180°       (LINEAR PAIR)

→∠1=54°

∠1=x     (ALTERNATE ANGLES)

∠1=54°

So,

x=54°

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