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: Q9 (page 97)

Complete.
If $m 鈭� 8 = 4 x, m 鈭� 7 = 30$ and $m 鈭� 9 = 6 x - 20$ then

Short Answer

Expert verified

If $m 鈭� 8 = 4 x, m 鈭� 7 = 30$ and $m 鈭� 9 = 6 x 鈭� 20$ then the value of x is 25.

Step by step solution

Step 1. Observe the given figure and highlight angle 8, angle 7 and angle 9.

Step 2. Apply exterior angle theorem.

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

Step 3. Description of step.

From the given figure, it can be observed that $鈭� 9$ is exterior angle and $鈭� 7$ and $鈭� 8$ are remote interior angles. Therefore, the sum of measures of $鈭� 7$ and $鈭� 8$ is equal to measure of $鈭� 9$ , that is,

$m 鈭� 7 + m 鈭� 8 = m 鈭� 9 30 + 4 x = 6 x 鈭� 20 2 x = 50$

Step 4. Description of step.

Divide each side of the equation obtained in step 3 by 2 to find the value of x.

$\begin{matrix} \frac{2 x}{2} = \frac{50}{2} \\ x = 25 \end{matrix}$

Therefore, the value of x is 25.

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91影视

Complete.
If $m 鈭� 8 = 4 x, m 鈭� 7 = 30$ and $m 鈭� 9 = 6 x - 20$ then

Short Answer

Step by step solution

Step 1. Observe the given figure and highlight angle 8, angle 7 and angle 9.

Step 2. Apply exterior angle theorem.

Step 3. Description of step.

Step 4. Description of step.

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91影视

Complete.If m鈭�8=4x,m鈭�7=30and m鈭�9=6x-20then

Short Answer

Step by step solution

Step 1. Observe the given figure and highlight angle 8, angle 7 and angle 9.

Step 2. Apply exterior angle theorem.

Step 3. Description of step.

Step 4. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Geometry

Calculus

Decision Maths

Probability and Statistics

Mechanics Maths

Applied Mathematics

Study anywhere. Anytime. Across all devices.

Complete.
If $m 鈭� 8 = 4 x, m 鈭� 7 = 30$ and $m 鈭� 9 = 6 x - 20$ then