Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter12: Angle Relationships And Transformations
Section12.3: Angles And Polygons
Problem 1C
Related questions
Question
I want m
![Find x, and then any unknown angles in the
quadrilateral
This figure in not dran to acale
x- 55](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19f1ad7c-1ab0-4ba9-8e6e-d4f5885d1123%2Fff6acef2-295e-4020-a420-dcfa7c5dd0df%2Fr18ey3h_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Find x, and then any unknown angles in the
quadrilateral
This figure in not dran to acale
x- 55
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
Solution ) we know that
Sum of the interior angle of quadrilateral = 360°
∠A + ∠B +∠c + ∠D = 360°
3x - 30 + 80 + x + 90 = 360
4x + 140 = 360
4x = 360 - 140
4x = 220
x = 220/ 4
x = 55°
∠A = 3x - 30
∠A = 3×55 - 30
∠A = 165 - 30
∠A = 135°
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Solved in 2 steps
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