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Ber [7]
3 years ago
11

The measure of the smallest angle of a triangle is one-third the measure of the largest

Mathematics
1 answer:
Anton [14]3 years ago
5 0

The biggest angle is 105°, the smallest angle is  35° and the second angle is 40°

A triangle is a polygon that has three sides and three angles. The sum of angles is a triangle is 180 degrees.

<em><u>Types of triangles </u></em>

  • Right angled triangle
  • Isosceles triangle
  • Equilateral triangle
  • Scalene triangle

From the question, the following information was derived:

  • smallest angle = \frac{1}{3}x
  • second angle = x - 65
  • largest angle is represented with x

\frac{1}{3}x + (x - 65 ) + x = 180

Combine similar terms

\frac{1}{3}x + x + x = 180 + 65

Add similar terms together

\frac{7}{3}x = 245

Divide both sides of the equation by 3/7

x = 105

The biggest angle  is 105°

smallest angle =  \frac{1}{3} x 105 = 35°

Second angle = 105 - 65 = 40°

In order to determine the value of each angle, determine the value of the largest angle first and then use the the value to determine the value of the other angles

A similar question was solved here: brainly.com/question/22240750?referrer=searchResults

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