Three angles of a quadrilateral are in the ratio 2 : 4 : 5. If the fourth angle measure 140o , find the other three angles of the Quadrilateral.
A)
100o, 80o, 40o
(B)
40o, 100o,120o
(C)
30o ,120o, 90o
(D)
60o, 80o ,120o
Answers
Answered by
15
Answer:
Let us take the angles as 2x, 5x and 7x
Greatest angle will be 7x and smallest will be 2x
Therefore, 2x+7x = 180°
9x = 180°
x = 20°
The angles are 2x = 40°, 5x = 100° and 7x = 140°
4th angle will be : 360° - (40° + 100° + 140°)
Answer is that the fourth angle will be equal to 80°
Answered by
0
Answer:
Answer
It is given that three angles are equal and measure of fourth angle is 120
o
.
Let the measure of each of the equal angles be x
We know that, sum of four measure of angles of quadrilateral is 360
o
.
⇒ x+x+x+120
o
=360
o
⇒ 3x+120
o
=360
o
⇒ 3x=240
o
⇒ x=80
o
Hence, this is the answer.
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