The angle of quadrilateral are in the ratio 2:2:9:5 find the difference between measures of the largest and smallest angle
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Answer:
The ratio of angles of quadrilateral are 2:2:9:5
⇒ Let the four angles be 2x,2x,5x and 9x
We know, sum of four angles of quadrilateral is 360
o
∴ 2x+2x+5x+9x=360
o
⇒ 18x=360
o
⇒ x=20
o
The angles are,
⇒ 2x=2×20
=40
⇒ 2x=2×20
=40
⇒ 5x=5×20
=100
⇒ 9x=9×20
=180
∴ The smallest angle of the quadrilateral is 40
Difference between measures of largest and smallest angle is = 180 - 20
=160
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Answer:
Their differences would be 96°
Step-by-step explanation:
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