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Two angles of a triangle have the same measure and the third one is 48 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.

Answer: The LARGEST angle has a measure of
degrees.

Respuesta :

nuhulawal20

The LARGEST interior angle of the triangle has a measure of 92 degrees.

What is the largest angle of the triangle?

The sum of the interior angle of a triangle is 180 degrees.

Given the data in the question;

Let x represent the measure of the first two angles.

Since they have same measurements.

  • Measure of angle 1 = x
  • Measure of angle 2 = x
  • Measure of angle 3 = x + 48

Since the sum of the interior angle of a triangle is 180 degrees.

m∠1 + m∠2 + m∠3 = 180°

x + x + x+48 = 180

3x + 48 = 180

3x = 180 - 48

3x = 132

x = 132/3

x = 44°

Measure of the largest angle will be;

Measure of angle 3 = x + 48 = 44 + 48 = 92°

Therefore the LARGEST interior angle of the triangle has a measure of 92 degrees.

Learn about area of triangles here: brainly.com/question/19305981

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