Answered: angle adjacent to the angle angle…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter2: Parallel Lines

Section2.4: The Angles Of A Triangle

Problem 21E: Given: ADE with m1=m2=x Find: mDAE=x2 x, m1, and mDAE

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Question

For the angle to coordinates (5,30), which would be another correct answer, besides the obvious ones shown in the diagram?

a)440.5

b)800.5

c)-279.5

d)all are correct

angle
adjacent
to the angle
angle
asnuajodkų
opposite
the angle

Expert Solution

Step 1

Given- For the angle to coordinates (5,30) and see the attached figure,

To find- The angles for the given figure.

Formula used- The angle can be find out by using the expression $\tan θ = \frac{y}{x}$ .

Step 2

Explanation- As per the given question the coordinates (5,30).

So, using the expression $\tan θ = \frac{y}{x}$ and substituting $x = 5 and y = 30$ , we get,

$\tan θ = \frac{y}{x} \tan θ = \frac{30}{5} \tan θ = 6$

Now, taking tan inverse both sides, we get,

$θ = \tan^{- 1} (6) θ = 80.53 °$

As $\tan θ$ is postive in 1^st and 3^rdquadrant , so the second angle for $θ$ will be $(180 + 80.53 °) = 260.53 °$ .

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angle adjacent to the angle angle asnuazodky opposite the angle