Q2 of 33 Page 41

From a point on a line, another line is to be drawn such that the angle on one side is 50° more than the angle on the other side. How much is the smaller angle?

Let smaller angle be x°

Angle on the other side is 50° more than the smaller angle.


∴ Angle on the other side = (x + 50)°


Since, both the angles together form a line,


Their sum = 180°


⇒ x + 50 + x = 180


⇒ 2x + 50 = 180


⇒ 2x = 180-50


⇒ 2x = 130


⇒


⇒ x = 65


Hence,the smaller angle = x° = 65°


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