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 5: Q24 (page 201)

In the diagram, $m 鈭� VOZ = 90$ .
$\overset{炉}{OW}$ is an altitude of $鈻� VOZ$ .
$\overset{炉}{OX}$ bisects $鈭� VOZ$ .
$\overset{炉}{OY}$ is a median of $鈻� VOZ$ .
Find the measures of the four numbered angles
$m 鈭� Z = 30$

Short Answer

Expert verified

The measures of the four numbered angles $鈭� 1, 鈭� 2, 鈭� 3$ and $鈭� 4$ are $30 掳, 15 掳, 15 掳$ and $30 掳$ respectively.

Step by step solution

Step 1. Observe the given diagram.

The given diagram is:

Step 2. Description of step.

It is being given that $m 鈭� V O Z = 90$ .

Therefore it can be obtained that:

$鈭� 1 + 鈭� 2 + 鈭� 3 + 鈭� 4 = 90 掳$ .

As, $\overset{炉}{O X}$ bisects $鈭� V O Z$ .

Therefore, $鈭� V O Z = 2 鈭� V O X$ .

Therefore it can be obtained that:

$\begin{matrix} 鈭� V O Z = 2 鈭� V O X \\ 90 掳 = 2 鈭� V O X \\ \frac{90 掳}{2} = 鈭� V O X \\ 45 掳 = 鈭� V O X \end{matrix}$

Therefore, the measure of the angle $鈭� V O X$ is .

As, bisects .

Therefore,

As, , therefore it can be obtained that:

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91影视

In the diagram, $m 鈭� VOZ = 90$ .
$\overset{炉}{OW}$ is an altitude of $鈻� VOZ$ .
$\overset{炉}{OX}$ bisects $鈭� VOZ$ .
$\overset{炉}{OY}$ is a median of $鈻� VOZ$ .
Find the measures of the four numbered angles
$m 鈭� Z = 30$

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. Description of step.

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91影视

In the diagram, m鈭�VOZ=90.OW炉 is an altitude of 鈻�VOZ.OX炉bisects 鈭�VOZ.OY炉is a median of 鈻�VOZ.Find the measures of the four numbered anglesm鈭�Z=30

Short Answer

Step by step solution

Step 1. Observe the given diagram.

Step 2. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Mechanics Maths

Decision Maths

Applied Mathematics

Logic and Functions

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the diagram, $m 鈭� VOZ = 90$ .
$\overset{炉}{OW}$ is an altitude of $鈻� VOZ$ .
$\overset{炉}{OX}$ bisects $鈭� VOZ$ .
$\overset{炉}{OY}$ is a median of $鈻� VOZ$ .
Find the measures of the four numbered angles
$m 鈭� Z = 30$