Question

if exterior angles of alltree sides of triangle are angle X and interior angles of a single side of triangle is angle Y then find angle x and angle y

Answer 1

Given: All exterior angles of a triangle is x.

In a triangle, all the exterior angles add up to 360°.

Therefore x = 120°.

Given: An interior angle is y.

In a triangle, two interior angles add up to an exterior angle.

Therefore y = 60°.

A few extra points:

• The interior angles of a triangle add up to 180°.
• Triangles can be of three types, equilateral [all sides are of equal measures], scalene [all sides are of different measures] and isosceles[ [any two sides are of equal measures].

• The concept of trigonometry can also be used to calculate angle/side measures.

Hope it helps :)

Answer 2

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Given:

All exterior angles of a triangle is x.

In a triangle, all the exterior angles add up to 360°.

Therefore x = 120°.

Given:

An interior angle is y.

In a triangle, two interior angles add up to an exterior angle.

Therefore y = 60°.