Twice of x is 30° less than y. Find x and y from the figure.

According to question

2 x = y - 30°

⇒ y = 2x + 30° …… (i)
Also, we know that

sum of x + y = 180° …… (ii)

Tip:- Sum of supplementary angles = 180°

Straight lines measure 180°. That means that these two angles are supplementary.

Complementary angles form a right angle (L shape) and have a sum of 90°. Supplementary angles form a straight line and have a sum of 180°.

Now, putting the value of y in eq (ii), we get

⇒ x + 2x + 30° = 180

⇒ 3 x = 180° – 30°

⇒ x = 50°

And y = 2x + 30°

⇒ y = 2(50°) + 30°

⇒ y = 100° + 30°

⇒ y = 130°