Arithmetic
Additive Identity
Arithmetic Progression
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Distributivity of Multiplication over Addition
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Cartesian System
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Quadrilateral
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range

Videos
Solved Problems
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 error in the following diagram:


In the given diagram:



∠ 1 = 110° and it's an exterior angle
∠ 2 & ∠ 3 = 59° & 65° respectively and they are interior opposite angle

As per Exterior Angle Property of Triangle:
∠ 1 = ∠ 2 + ∠ 3

Put the values of ∠ 1, ∠ 2 & ∠ 3 from above and we get:
110 = 59° & 65°

Solve R.H.S and we get
110° = 124°

We can see above that:
110° ≠ 124°

But, as per Exterior Angle Property of Triangle:
Exterior Angle = Sum of Interior Opposite Angles

Therefore, we can conclude that the measure of ∠ 1, ∠ 2 & ∠ 3 are incorrect as against what are given in the question.


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:


  • Copyright@2022 Algebraden.com (Math, Algebra & Geometry tutorials for school and home education)