1.

The three angles ofquadrilateral, are in ratio 3:4;5:6 calculate the angles​

Answer»

Correct QUESTION,

The 4 angles of a quadrilateral are in the ratio 3:4:5:6. Calculate the measure of each angle.

Answer:

Let the angles be 3X, 4x, 5x and 6x.

We know that as per the angle sum PROPERTY of quadrilaterals, the sum of all the angles of a quadrilateral is 360 degrees.

Therefore, we can write it down as:

3x + 4x + 5x + 6x = 360^o

18x = 360^o

So,

x = 360/18 = 20

→ Measure of angle 1 = 3x = 3 x 20 = 60 degrees

→ Measure of angle 2 = 4x = 4 x 20 = 80 degrees

→ Measure of angle 3 = 5x = 5 x 20 = 100 degrees

→ Measure of angle 4 = 6x = 6 x 20 = 120 degrees

Statement

Therefore the measure of the 4 angles of the quadrilateral are 60^o,80^o,100^o,120^o.


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