Q. 24.1( 7 Votes )

# 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?

Answer :

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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