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1 Angle 1= INSTRUCTIONS. The figures are Isosceles Trapezoids, find the missing angles. 0/1 2 Angle 2= 0/1 3 Angle 3= 4 Angle 1= 2/1

1 Angle 1= INSTRUCTIONS. The figures are Isosceles Trapezoids, find the missing angles. 0/1 2 Angle 2= 0/1 3 Angle 3= 4 Angle 1= 2/1

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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1 Angle 1= INSTRUCTIONS. The figures are Isosceles Trapezoids, find the missing angles. 0/1 2 Angle 2= 0/1 3 Angle 3= 4 Angle 1= 2/1
Transcribed Image Text:1 Angle 1= INSTRUCTIONS. The figures are Isosceles Trapezoids, find the missing angles. 0/1 2 Angle 2= 0/1 3 Angle 3= 4 Angle 1= 2/1
Expert Solution
Step 1

1. Here ∠3 and angle of measure 58 degree are consecutive interior angles.

It is known that consecutive interior angles are supplementary.

Thus,

∠3+58°=180°∠3=180°-58°∠3=122°

Step 2

Also, ∠1 and angle of measure 58 degree will be equal as it is an isosceles trapezoid.

Thus, ∠1=58°.

∠2 and ∠3 are consecutive interior angles and hence they are supplementary.

Thus,

∠3+∠2=180°122°+∠2=180°∠2=180°-122°∠2=58°

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