11. If AABC is an isosceles triangle and ADBE is an equilateral triangle, find each missing measure. (4x+3)1 3/ 4 68 E (9x-47) C m21 = m/2 = m/3 = m24 = m25 = — m26 = m27 = m/8= m/9 =
11. If AABC is an isosceles triangle and ADBE is an equilateral triangle, find each missing measure. (4x+3)1 3/ 4 68 E (9x-47) C m21 = m/2 = m/3 = m24 = m25 = — m26 = m27 = m/8= m/9 =
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
Related questions
Question
11

Transcribed Image Text:Lesson Title:
Lesson 23
Isosceles and Equilateral Triangles
11. If AABC is an isosceles triangle and ADBE is an equilateral triangle, find each missing
measure.
(4x +3)/1
A
3/ 4
D
B
5
68
E
Name:
Date:
Period:
(9x-47)
C
m21 =
m/2 =
m/3 =
m/4 =
m/5 =
|||||
m26 =
m27 =
m/8=.
m/9 =
||||
12. In AABC, if AC = CB, mLA = 3x + 18, m/B = 7x-58, and m/C=2x-8, find x and the
measure of each angle.
x =
mZA =
m/B=
m/C=
111
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Step 1: Requirement of the question
VIEWStep 2: Find the value of x using the properties of isosceles triangle
VIEWStep 3: Use value of x to find the measure of angle 1 and angle 9
VIEWStep 4: Find the value of angle 4,5,6 using the properties of equilateral triangle
VIEWStep 5: Find the value of angle 3 and angle using property of straight line.
VIEWStep 6: Find the value of angle 2 and angle 7 using the sum of angles of a triangle.
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