11 Lesson Title:Lesson 23Isosceles and Equilateral Triangles11. If AABC is an isosceles triangle and ADBE is an equilateral triangle, find each missingmeasure.(4x +3)/1A3/ 4DB568EName:Date:Period:(9x-47)Cm21 =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 themeasure of each angle.x =mZA =m/B=m/C=111

Answered: Image /qna-images/answer/9bbc7c1e-a968-4e31-8b4f-08af495253df.jpg

Answered: 11. If AABC is an isosceles triangle…

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.

Chapter7: Locus And Concurrence

Section7.3: More About Regular Polygons

Problem 28E: If possible, draw an equilateral and concave: a triangle c pentagon

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Question

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

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Step 2: Find the value of x using the properties of isosceles triangle

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Step 3: Use value of x to find the measure of angle 1 and angle 9

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Step 4: Find the value of angle 4,5,6 using the properties of equilateral triangle

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Step 5: Find the value of angle 3 and angle using property of straight line.

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Step 6: Find the value of angle 2 and angle 7 using the sum of angles of a triangle.

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