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 = 100^{o}

2∠1 = 100^{o}

∠1 = 50^{o}

Therefore, ∠1 = ∠2 = 50^{o}

Thus, of these angles is equal to 50^{o}.

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