The exterior angle of a triangle is 100.it has two interior oppocite angles. What is the measure of those angles?
Answers
Answered by
96
Given :-
Exterior angle of triangle = 100
Interior Opposite angles are equal
To Find :-
Measure of the angles of triangle
Solution :-
we know that,
Interior Opposite angles are equal
so, ∠ACD = 100° and ∠A = ∠B
Property = An exterior of triangle is equal to sum of
two opposite interior angles
So, In ∆ABC
∠A + ∠B = ∠ACD
∠2A = 100°
∠A = 100/2°
∠A = 50°
∠B = ∠A = 50°
Hence, Each angle of two opposite interior angles is 50°
Proof :-
∠A + ∠B = ∠ACD
50° + 50° = 100°
Hence, Proved
Answered by
1
Step-by-step explanation:
u r answer is 50....!!!!
hope it helps you..!!!!
Similar questions