Mathematics High School

The ratio of the interior angles of a triangle is 4:5:7. What are the angle measures?

The Ratio Of The Interior Angles Of A Triangle Is 4:5:7. What Are The Angle Measures?

Answers

Answer 1

Answer:

45:56.25:78.75

Step-by-step explanation:

a triangle=180º total

4+5+7=16

180÷16=11.25

Answer 2

The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The ratio of the interior angles of a triangle = 4 : 5 : 7

Now,

Find the interior angles of a triangle as;

Since, The ratio of the interior angles of a triangle = 4 : 5 : 7

Hence, First angle = 4x

Second angle = 5x

Third angle = 7x

Since, The sum of all the angles in a triangle = 180°

So, We can formulate;

⇒ 4x + 5x + 7x = 180

⇒ 16x = 180

⇒ x = 180/16

⇒ x = 11.25

Thus, First angle = 4x

                          = 4 × 11.25

                          = 45°

Second angle = 5x

                     = 5 × 11.25

                     = 56.25°

Third angle = 7x

                  = 7 × 11.25

                  = 78.25°

Thus, The measures of all the angles in a triangle are 45°, 56.25° and 78.25°.

Learn more about the triangle visit:

https://brainly.com/question/17335144

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Step-by-step explanation:

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Answers

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