1 Angle 1=INSTRUCTIONS. The figures are Isosceles Trapezoids, find the missing angles.0/12 Angle 2=0/13 Angle 3=4 Angle 1=2/1

Answered: 1 Angle 1= INSTRUCTIONS. The figures…

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

See similar textbooks

Related questions

Question

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,

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

Step by step

Solved in 3 steps

Similar questions

Recommended textbooks for you

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

Elementary Geometry For College Students, 7e

Geometry

ISBN:

9781337614085

Author:

Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:

Cengage,

Elementary Geometry for College Students

Geometry

ISBN:

9781285195698

Author:

Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS

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