Q14. If m鈭�1聽=聽30掳 and m鈭�4聽=聽... [FREE SOLUTION]

91影视

Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset 91影视 Explanations$ Math

Student Edition 路 227 pages

ISBN: 9780395977279

Chapter 3: Q14. (page 111)

If $m 鈭� 1 = 30 掳$ and $m 鈭� 4 = 130 掳$ thenm鈭�2 = ?

Short Answer

Expert verified

The measure of鈭�2is 100掳.

Step by step solution

Step 1. Highlight ∠1, ∠2 and ∠4.

Step 2. Apply exterior angle theorem.

The measure of an exterior angle is equal to the sum of measure of two remote interior angles.

Step 3. Description of step.

From the figure it can be observed that鈭�1,鈭�2are remote interior angles and鈭�4is exterior angle then by exterior angle theorem,

$\begin{matrix} m 鈭� 1 + m 鈭� 2 = m 鈭� 4 \\ 30 + m 鈭� 2 = 130 \\ m 鈭� 2 = 130 鈭� 30 \\ = 100 \end{matrix}$

Therefore, the measure of 鈭�2 is 100掳.

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Statement	Reason
1. $k 鈭� l$	Given
2. $鈭� 3 鈮� 鈭� 2$	If two parallel lines are cut by transversal then alt. int. $鈭� s$ are $鈮�$
3. $鈭� 1 鈮� 鈭� 3$	Vert. $鈭� s$ are $鈮�$
4. $鈭� 1 鈮� 鈭� 2$	Transitive Property

91影视

If $m 鈭� 1 = 30 掳$ and $m 鈭� 4 = 130 掳$ thenm鈭�2 = ?

Short Answer

Step by step solution

Step 1. Highlight ∠1, ∠2 and ∠4.

Step 2. Apply exterior angle theorem.

Step 3. Description of step.

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91影视

If m鈭�1=30掳 and m鈭�4=130掳thenm鈭�2 = ?

Short Answer

Step by step solution

Step 1. Highlight ∠1, ∠2 and ∠4.

Step 2. Apply exterior angle theorem.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Applied Mathematics

Geometry

Mechanics Maths

Pure Maths

Calculus

Study anywhere. Anytime. Across all devices.

If $m 鈭� 1 = 30 掳$ and $m 鈭� 4 = 130 掳$ thenm鈭�2 = ?