Chapter 5.1, Problem 26E

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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 360Â°.

**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 2*x*, 3*x*, 4*x* and 6*x*.

Use the angle sum property of quadrilateral.

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