Question

4. Prove that the sum of three exterior angles of a triangle formed by producing the sides in order is four right
angles or 360°
​

Answer 1

Step-by-step explanation:

As we know the sum of all angle of triangle is 180°

suppose all angles aur equal , means 60°

so all the angle of triangle is 60° each

know , we also know that the an exterior angle is equal to the sum of 2 opposite interior angle

so interior angle = 60°

hence the sum of them is 120°

so one exterior angle is 120 °

hence all the three exterior angles are equal by exterior angle property

sum of exterior angle is 360°

120 + 120 + 120 = 360

360 = 360

HENCE , PROVED

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