In the given figure, QP\ML and other angles are shown. Find the value of x.

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Draw AC || QP and BD || LM.

∴QP || LM=>AC || BD

and AC || QP => ∠4 = 15° …(i)

[alternate interior angles]

Also, BD|| ML=> ∠1 = 10°

[alternate interior angles]

and AC || BD => ∠2 = ∠3

[alternate interior angles]

Now, as ∠3 + ∠4 = 35°

∴∠3 + 15° = 35° [from Eq. (i)]

=> ∠3 = 20°

=> ∠2 = 20° [∵∠2 = ∠3]

Now, x = ∠1+ ∠2 = 10° +20° = 30°

Hence, the value of x is 30°.

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