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
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smaller angle = 65°
Step-by-step explanation:
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 = 130/2
⇒ x = 65
Hence, the smaller angle = x° = 65°
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