Math, asked by shah4416, 5 months ago

The exterior angle of a triangle is 100.it has two interior oppocite angles. What is the measure of those angles?​

Answers

Answered by WhiteDove
96

\huge\sf\red{Answer}

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 zainabparekh
1

Step-by-step explanation:

u r answer is 50....!!!!

hope it helps you..!!!!

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