Chapter 2: Q7 (page 46)

State which definition, postulate, or theorem justifies the statement about the diagram.
$m ∠ 1 + m ∠ 2 = m ∠ B A C$

Short Answer

Expert verified

The Angle Addition Postulate justifies the statement about the diagram.

Step by step solution

Step 1. Observe the given diagram.

The diagram constitutes of a triangle ABC.

Step 2. State the Angle Addition Postulate.

The postulate states that if two angles are placed side by side, then the value of the resulting angle is equal to the sum of the original angles.

Step 3. State the conclusion.

Considering the given diagram and the statement “ $m ∠ 1 + m ∠ 2 = m ∠ B A C$ ”.

Here $∠ 1$ and $∠ 2$ are two adjacent angles. So, the sum of these two angles is equal to $∠ B A C$ .

Therefore, the statement about the diagram is justified by the Angle Addition Postulate.

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State which definition, postulate, or theorem justifies the statement about the diagram.
$m ∠ 1 + m ∠ 2 = m ∠ B A C$

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. State the Angle Addition Postulate.

Step 3. State the conclusion.

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State which definition, postulate, or theorem justifies the statement about the diagram.m∠1+m∠2=m∠BAC

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. State the Angle Addition Postulate.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Geometry

Statistics

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

State which definition, postulate, or theorem justifies the statement about the diagram.
$m ∠ 1 + m ∠ 2 = m ∠ B A C$