Chapter 5: Q. 6 (page 200)

For the following figure, complete the statement about the diagram. Then state the definition, postulate or theorem that justify the answer. $m ∠ 1 + m ∠ 2 + m ∠ 3 =__$

Short Answer

Expert verified

The statement is $m ∠ 1 + m ∠ 2 + m ∠ 3 = 180^{\circ}$ .

Step by step solution

Step 1- Check the figure.

Consider the figure.

Step 2- Apply the concept of the angle sum theorem of the triangle.

Angel sum theorem of a triangle states that the sum of the measure of interior angles of a triangle is 180 degrees.

Step 3- Step description.

Since the sum of the measure of the interior angles of a triangle is 180 degrees thus the sum of the angles 1,2 and 3 will be 180 degrees.

Thus the statement is $m ∠ 1 + m ∠ 2 + m ∠ 3 = 180^{\circ}$ and the theorem is angle sum theorem.

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For the following figure, complete the statement about the diagram. Then state the definition, postulate or theorem that justify the answer. $m ∠ 1 + m ∠ 2 + m ∠ 3 =__$

Short Answer

Step by step solution

Step 1- Check the figure.

Step 2- Apply the concept of the angle sum theorem of the triangle.

Step 3- Step description.

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For the following figure, complete the statement about the diagram. Then state the definition, postulate or theorem that justify the answer.m∠1+m∠2+m∠3=__

Short Answer

Step by step solution

Step 1- Check the figure.

Step 2- Apply the concept of the angle sum theorem of the triangle.

Step 3- Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Discrete Mathematics

Calculus

Geometry

Probability and Statistics

Study anywhere. Anytime. Across all devices.

For the following figure, complete the statement about the diagram. Then state the definition, postulate or theorem that justify the answer. $m ∠ 1 + m ∠ 2 + m ∠ 3 =__$