Question

In the given figure i||m find x​

Answer 1

Answer:

I||m and AC is transversal

angle 115° = angle IAC [corresponding]

angle IAC + angle 50° + angle x = 180°.[STRAIGHT LINE]

115°+50°+X°=180°

165°+X= 180°

x = 180°-165°

x= 15°.

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Answer 2

Answer:

The value of x is 65°.

Step-by-step explanation:

In ∆ ABC,

115° is the exterior angle. Which means sum of ∠A and ∠B is 115°

$\longrightarrow$ 50° + ∠B = 115°

$\longrightarrow$ ∠B = 115° - 50°

$\longrightarrow$ ∠B = 65°

∠B and ∠x are alternate interior angles. (l || m, AB is the transversal)

Alternate interior angles are equal.

So,

$\longrightarrow$ ∠B = ∠x

$\longrightarrow$ ∠x = 65°

Therefore, the value of x is 65°.