Question

explain how is exterior angle of a triangle equal to the sum of two opposite angles with the help of a diagram​

Answer 1

Step-by-step explanation:

In tri ABC,

Angle1+Angle2+Angle3=180°

1+2=180°-3___[1]

Angle3+Angle4=180°

Angle4=180°-Angle3___[2]

Comparing Eqn. [1] and [2]

Angle1+Angle2=Angle4

Hence Proved

Answer 2

Answer:

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Step-by-step explanation:

an exterior angle of a triangle is equal to the sum of the two interior opposite angle. This is called exterior angle property

• in adjoining figure, angle 1+angle 2+ angle 3= 180(angle sum property of a triangle)
• also,angle3+angle prx=180(linear pair property)
• angle 3+ angle prx=angle 1+ angle 2+ angle 3
• =angle prx= angle 1+angle2
• hence,an exterior angle of a triangle is equal to the sum of the two interior opposite angle of a triangle