Math, asked by 8cutkarsha, 6 months ago

The angles of Quadrilateral are in the ratio 3:5:7:9. Find the measure of all angles

Answers

Answered by darshlakshmikanth

Answer:

angles are 45, 75,105 and 135 respectively

Step-by-step explanation:

LETS NAME THE ANGLES AS A,B,C,D

NOW TO FIND THE ANGLES WHAT WE ARE GOING TO DO IS WE ARE GONNA ADD ALL THE RATIOS WHICH SUM UP TO 24

NOW LETS FIND:-

A= 3/24*360=45

B= 5/24*360=75

C= 7/24*360=105

D= 9/24*360=135

HOPE THIS ANSWER SUITS YOU;)

Answered by Anonymous

102

The angles of Quadrilateral are in the ratio 3:5:7:9. Find the measure of all angles.

Measure of all angles : 45°, 75°, 105°, 135°

As ratio = 3:5:7:9, let angles be 3x, 5x, 7x, 9x

3x + 5x + 7x + 9x = 360°

⇒ 24x = 360°

⇒ x = 360°/24

x = 15°

___________________

From value of x, we can find all the angles. Just follow the process !!

Our angles are : 3x, 5x, 7x, 9x

3x = 3 × 15° = 45°

5x = 5 × 15° = 75°

7x = 7 × 15° = 105°

9x = 9 × 15° = 135°

Hence the angles are :

45°, 75°, 105°, 135°

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