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11. If AABC is an isosceles triangle and ADBE is an equilateral triangle, find each angle measure. m26 = = 17W m22 = m27 = (4x+3) (9x– 47) m23 = m28 = 3/4 6 8 A D m24 = m25 =

11. If AABC is an isosceles triangle and ADBE is an equilateral triangle, find each angle measure. m26 = = 17W m22 = m27 = (4x+3) (9x– 47) m23 = m28 = 3/4 6 8 A D m24 = m25 =

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter1: Line And Angle Relationships
Section1.CR: Review Exercises
Problem 31CR: The sum of the measures of all three angles of the triangle in Review Exercise 30 is 180. If the sum...
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11. If AABC is an isosceles triangle and ADBE is an equilateral triangle, find each angle measure. mz1 = m26 = m22 = m27 = (4x +3) (9x-47) m23 = m28 = 21 3/4 6 8 A E m24 = m29 = m25 3D
Transcribed Image Text:11. If AABC is an isosceles triangle and ADBE is an equilateral triangle, find each angle measure. mz1 = m26 = m22 = m27 = (4x +3) (9x-47) m23 = m28 = 21 3/4 6 8 A E m24 = m29 = m25 3D
Expert Solution
Step 1

△ABC is isosceles triangle

so, ∠BAC = ∠BCA

4X+3°=9x-47°

5x = 50°

x   =  10°

 

So,  ∠BAC  =(4x+3°)  4 × 10 + 3            [x = 10]

                         =43 °

      ∠BCA = (9x-47)° = 9 × 10 - 47               [x=10]                                     = 43°    

 

 

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