Question

The angles of the quadrilateral are in the ration of4:3:2:6 find the measure of ech angle

Answer 1

4+3+2+6=15

sum of all angles of quadrilateral=360

4/15*360=96

3/15*360=72

2/15*360=48

6/15*360=144

check

96+72+48+144=360

Answer 2

Answer :

• Angles will be 96⁰ , 72⁰ , 48⁰, 144⁰

Given :

• The angles of the Quadrilateral are in the ratio of 4 : 3 : 2 : 6

To find :

• Measure of each angle

Solution :

To find the measure of each angle we will use sum of angles of quadrilateral is 360⁰

Given the ratio 4:3:2:6 so,

• Let the ratio be 4x , 3x , 2x and 6x

As we know that

• Sum of angles of quadrilateral is 360⁰

➞ 4x + 2x + 3x + 6x = 360⁰

➞ 15x = 360⁰

➞x = 360/15

➞ x = 72/3

➞ x = 24⁰

Hence, x = 24⁰

Finding the measure of each angle :

• 4x = 4(24) = 96⁰
• 3x = 3(24) = 72⁰
• 2x = 2(24) = 48⁰
• 6x = 6(24) = 144⁰

Hence, Angles will be 96⁰ , 72⁰ , 48⁰, 144⁰

Verification :

➞ 4x + 3x + 2x + 6x = 360⁰

➞ 4(24) + 3(24) + 2(24) + 6(24) = 360⁰

➞ 96 + 72 + 48 + 144 = 360⁰

➞ 360⁰ = 360⁰

LHS = RHS

Hence , Verified