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An Exterior Angle of a Triangle is Equal to 100° and Two Interior Opposite Angles Are Equal. Each of These Angles is Equal to - Mathematics

MCQ

An exterior angle of a triangle is equal to 100° and two interior opposite angles are equal. Each of these angles is equal to

Options

  • 75°

  • 80°

  • 80°

  • 40°

  • 50°

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Solution

n the ΔABCCD is the ray extended from the vertex C of ΔABC. It is given that the exterior angle of the triangle is  100° and two of the interior opposite angles are equal.

So, ∠ACD = 100° and A = ∠B

So, now using the property, “an exterior angle of the triangle is equal to the sum of the two opposite interior angles”, we get.

In ΔABC

∠A + ∠B = ∠ACD

∠2A = 100°

`∠A =  (100°)/2`

∠A = 50°

∠A = ∠B = 50°

Therefore, each of the two opposite interior angles is 50°.

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 11 Triangle and its Angles
Q 3 | Page 25
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