Solve for x5x+ 10110°UVhp%23$&4.

Answered: Solve for x T 5x+10 110° U V

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Solve for x
5x+ 10
110°
U
V
hp
%23
$
&
4.

Expert Solution

Step 1

Solution:

Consider the given angle of the arc TV = 110 degree

Also, it is given that $∠ U = 5 x + 10$

Since the total angle is $360 °$ and another intercepted arc is $360 ° - 110 ° = 250 °$

And the angle U can be calculated as:

$∠ U = \frac{250 ° - 110 °}{2} 5 x + 10 = \frac{250 ° - 110 °}{2} 5 x + 10 = \frac{140 °}{2} = 70 ° 5 x = 70 - 10 5 x = 60 x = \frac{60}{5} = 12 x = 12 °$

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