Question

The angles of quadrilateral ae in ratio of 3: 4: 5: 6. The respective angles of the quadrilateral are​

Answer 1

Step-by-step explanation:

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

As we know that the sum of all the interior angles of a quadrilateral is equal to 360°. ......(1)

Now, according to the question:-

→ 3x + 4x + 5x + 6x = 360° (From 1)

→ 18x = 360°

→ x = 360°/18

→ x = 20°

Therefore, the measure of all the angles of the quadrilateral, are as follows:-

• First Angle → 3x = 3×20° = 60°

• Second Angle → 4x = 4×20° = 80°

• Third Angle → 5x = 5×20° = 100°

• Fourth Angle → 6x = 6×20° = 120°

Therefore, the measure of all the interior angles of the given quadrilateral is 60°, 80°, 100° and 120°

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Answer 2

Answer:

Given:

angles of quadrilateral are in ratio3:4:5:6

Find:

measure of each angles

let the ratio of quadrilateral be x

so ratio = 3x : 4x : 5x : 6x

sum all the angle of quadrilateral are 360°

so ,

3x + 4x + 5x + 6x = 360°

18x = 360

x = 360/18

x = 20 °

measure of first ∠ = 3x = 3 × 20° = 60°

measure of second ∠ = 4x = 4 × 20° = 80°

measure of third ∠ = 5x = 5 × 20° = 100°

measure of fourth ∠ = 6x = 6 × 20° = 120°