Answered: Find x and then any unknown angles in…

Math

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Find x and then any unknown angles in the quadrilateral This figure is aot dran to cale x- 55

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

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Question

I want m

Find x, and then any unknown angles in the
quadrilateral
This figure in not dran to acale
x- 55

Expert Solution

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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