1.

The angle of a guardilatsalof a guardilatsal are in theare in the ratio 3:5:79.measure of the fourth angle.Find the​

Answer»

Step-by-step explanation:

The measure of each of these angles is 45,75,105 and 135.

The angles of a quadrilateral are in the RATIO 3 : 5 : 7 : 9.

The measure of each of these angles ?

We know that,

Sum of angle of quadrilateral is 360°.

The angles of a quadrilateral are in the ratio 3 : 5 : 7 : 9.

Let X be the COMMON ratio.

3x + 5x + 7x + 9x = 3603x+5x+7x+9x=360

24x=36024x=360

2X= 302x=30

x= \frac{30}{2}x=

2

30

x=15x=15

The angle of quadrilaterals are

3x=3\times 15=453x=3×15=45

5x=5\times 15=755x=5×15=75

7x=7\times 15=1057x=7×15=105

9x=9\times 15=1359x=9×15=135

The measure of each of these angles is 45,75,105 and 135.

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