Q8. For the following figure, find t... [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 6: Q8. (page 212)

For the following figure, find the measures of $鈭� 1, 鈭� 2, 鈭� 3$ and $鈭� 4$ .

Short Answer

Expert verified

The measures of the angles $鈭� 1, 鈭� 2, 鈭� 3$ and $鈭� 4$ are role="math" localid="1638195243372" $60 掳, 75 掳, 45 掳$ and role="math" localid="1638195267206" $60 掳$ .

Step by step solution

Step 1. Apply the concept of angles.

In a triangle sum of all the angles of the triangles is 180 degrees.

Alternate opposite angles of two lines are equal.

Step 2. Check the figure.

Consider the figure.

As alternate opposite angles of two lines are equal then the angles $鈭� 1, 鈭� 3$ as follows:

role="math" localid="1638194671820" $鈭� 1 = 60 掳$

$鈭� 3 = 45 掳$

Step 3. Find the angle.

Since the sum of all angles of the triangles is 180 degrees thus find the angle as follows:

$\begin{matrix} 60 掳 + 45 掳 + 鈭� 2 = 180 掳 \\ 105 掳 + 鈭� 2 = 180 掳 \\ 鈭� 2 = 180 掳鈭� 105 掳 \\ 鈭� 2 = 75 掳 \end{matrix}$

Step 4. Step description.

As the sum of all the angles on one side of the triangle is 180 degrees thus find the angles as follows:

$\begin{matrix} 鈭� 2 + 鈭� 3 + 鈭� 4 = 180 掳 \\ 75 掳 + 45 掳 + 鈭� 4 = 180 掳 \\ 鈭� 4 = 180 掳鈭� 120 掳 \\ 鈭� 4 = 60 掳 \end{matrix}$

Hence, the measures of $鈭� 1, 鈭� 2, 鈭� 3$ androle="math" localid="1638195217948" $60 掳, 75 掳, 45 掳$ is and $60 掳$ .

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91影视

For the following figure, find the measures of $鈭� 1, 鈭� 2, 鈭� 3$ and $鈭� 4$ .

Short Answer

Step by step solution

Step 1. Apply the concept of angles.

Step 2. Check the figure.

Step 3. Find the angle.

Step 4. Step description.

One App. One Place for Learning.

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91影视

For the following figure, find the measures of 鈭�1,鈭�2,鈭�3and 鈭�4.

Short Answer

Step by step solution

Step 1. Apply the concept of angles.

Step 2. Check the figure.

Step 3. Find the angle.

Step 4. Step description.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Applied Mathematics

Statistics

Decision Maths

Calculus

Pure Maths

Study anywhere. Anytime. Across all devices.

For the following figure, find the measures of $鈭� 1, 鈭� 2, 鈭� 3$ and $鈭� 4$ .