14. If MZABC = 115°, find MZADB. %3D C (4x + 6)°. E D A (6x – 11)°

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.CT: Test
Problem 15CT
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14. If MZABC = 115°, find MZADB.
C
(4x + 6)°
E
D
(6х - 11)°
e Gina Wilson (All Things AlgeE
Transcribed Image Text:14. If MZABC = 115°, find MZADB. C (4x + 6)° E D (6х - 11)° e Gina Wilson (All Things AlgeE
13. If MZKLH = 134°, solve for x.
%3D
(4x + 9)°
K
F180
25
Transcribed Image Text:13. If MZKLH = 134°, solve for x. %3D (4x + 9)° K F180 25
Expert Solution
Question no. 14

Given, m(angle ABC) = 115°

Since, BC is parallel to AD, then, 

m(angle CBD) = m(angle ADB) = (6x - 11)°

Now, m(angle ABC) = m(angle ABD) + m(angle CBD) 

So, 115° = (4x + 6)° + (6x - 11)° 

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