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Home >> Triangle >> Properties >> Exterior Angle Property of a Triangle >> Examples

Exterior Angle Property of a Triangle : Solved Examples

Sum of Two Sides Angle Sum Property Angles opposite to equal sides of triangle are equal Angle opposite to longer side is greater Pythagoras Theorem
Exterior Angle Property of a Triangle Mid point property of Triangle Triangles on same base & between same parallel lines

Find measure of exterior angle whose interior opposite angles are 50° & 75°
Let exterior angle be ∠ x
And Interior opposite angles are ∠ y & ∠ z

As given in the question:

∠ y = 50° & ∠ z = 75°

Now, As per Exterior Angle Property of Triangle; we get:
∠ x = ∠ y + ∠ z

Put the values of ∠ A & ∠ C from above and we get:
∠ x = 50° + 75°

Solve R.H.S and we get:
∠ x = 125°

Hence, measure of exterior = 125°

Related Question Examples

  • In the following Triangle ABC, find measure of exterior ∠ 1:

  • Find measure of exterior angle whose interior opposite angles are 50° & 75°
  • Find error in the following diagram:


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