Chapter 3: Q6 (page 96)

Explain how each corollary of Theorem 3-11 follows from the theorem
Corollary 2

Short Answer

Expert verified

For an equiangular triangle, measure of each angle must be 60 degrees such that,

$60 ° + 60 ° + 60 ° = 180 °$

Step by step solution

Step 1. State Theorem 3-11

The sum of the angles is $180^{0}$

Step 2. State Corollary 2

Each angle of an equiangular triangle has measure 60.

Step 3. State the relation between Theorem 3-11 and Corollary 2.

Since, in an equiangular triangle, all of the angle measures are the same. So, if the three angles of a triangle are each less than $60 °$ ,

Their sum will be less than $180^{0}$ .

But by theorem 3-11, it is clear that the sum of the three angles of triangle is role="math" localid="1637927723316" $180^{°}$ .

So, for equiangular triangle, measure of each angle must be 60 such that.,

$60 ° + 60 ° + 60 ° = 180 °$ .

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Statement	Reason
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2. $∠ 3 ≅ ∠ 2$	If two parallel lines are cut by transversal then alt. int. $∠ s$ are $≅$
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Explain how each corollary of Theorem 3-11 follows from the theorem
Corollary 2

Short Answer

Step by step solution

Step 1. State Theorem 3-11

Step 2. State Corollary 2

Step 3. State the relation between Theorem 3-11 and Corollary 2.

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Explain how each corollary of Theorem 3-11 follows from the theoremCorollary 2

Short Answer

Step by step solution

Step 1. State Theorem 3-11

Step 2. State Corollary 2

Step 3. State the relation between Theorem 3-11 and Corollary 2.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Explain how each corollary of Theorem 3-11 follows from the theorem
Corollary 2