Angle Sum Property Of A Triangle

This property says that the sum of all the interior angles of a triangle is 180°.

Example

Find the value of x and y in the given triangle.

Solution

x + 58° = 180° (linear pair)

x = 180° – 58°

x = 122°

We can find the value of y by two properties-

1. Angle sum property

60° + 58° + y = 180°

y = 180°- (60° + 58)

y = 62°

2. Exterior angle property

x = 60°+ y

122° = 60° + y

y = 122° – 60°

y = 62°

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