Q. 33.6( 9 Votes )
An exterior angle of a triangle is equal to 100° and two interior opposite angles are equal, each of these angles is equal to
A. 75°
B. 80°
C. 40°
D. 50°
Answer :
Let, ∠1 and ∠2 be two opposite interior angles and ∠3 be exterior angle.
According to question,
∠1 + ∠2 = ∠3
∠1 + ∠1 = 100o
2∠1 = 100o
∠1 = 50o
Therefore, ∠1 = ∠2 = 50o
Thus, of these angles is equal to 50o.
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