Question

The angles of a quadrilateral are in the ratio 3 : 5 : 7 : 9. Find the measure of the smallest angle.

Answer 1

Answer:

Step-by-step explanation:

be 3x,5x,7x and 9x. Therefore, smallest angle is 45°.

Answer 2

Answer :

• Measure of the smallest angle is 45⁰.

Given :

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

To find :

• Measure of the smallest angle

Solution :

We know that,

• Sum of angles of quadrilateral is equal to 360⁰

• Let the ratio be 3x , 5x , 7x and 9x

According to question,

➪ 3x + 5x + 7x + 9x = 360⁰

》24x = 360⁰

》x = 360⁰/24

》x = 15

Now , we need to find the smallest angle :

• 3x = 3(15) = 45⁰
• 5x = 5(15) = 75⁰
• 7x = 7(15) = 105⁰
• 9x = 9(15) = 135⁰

Hence , Measure of the smallest angle is 45⁰.