   Chapter 5.1, Problem 26E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

If the measures of the angles of a quadrilateral are in the ratio of 2:3:4:6, find the measure of each angle.

To determine

To find:

The measures of angles of a quadrilateral.

Explanation

Approach:

1) According the property of ratios, unknown quantities in the ratio a:b:c:d should be represented by ax, bx, cx and dx.

2) The angle sum property of quadrilateral states that the sum of the angles of a quadrilateral is 360°.

Calculation:

It is given that the measures of the angles of a quadrilateral are in the ratio of 2:3:4:6.

Use the property of ratios.

The measures of the angles of a quadrilateral are 2x, 3x, 4x and 6x.

Use the angle sum property of quadrilateral.

2x+3x+4x+6x=360

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