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Chapter 7: Q31. (page 244)

The measures of the consecutive angles of a quadrilateral are in the ratio5:7:11:13 . Find the measure of each angle.

Short Answer

Expert verified

The measure of each angle is50鈭�,70鈭�,110鈭� and130鈭� .

Step by step solution

01

Step 1. Given information.

The ratio of the consecutive angles of a quadrilateral are,

5:7:11:13

02

Step 2. Concept used.

The sum of angles of a quadrilateral is360鈭�

Since, ratio of the angles is always in the simplified form,

it might not represent the actual measure.

So,

03

Step 3. Considering the angles as5x,7x,11x,13x. 

The sum of the angles of the quadrilateral can be expressed using the above relation as,

5x+7x+11x+13x=36036x=360x=10

So each of the angles are given by,

5x=5脳10=507x=7脳10=7011x=11脳10=11013x=13脳10=130

Therefore, the measure of each angle of quadrilateral is50鈭�,70鈭�,110鈭� and130鈭� .

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