Question

the angles of a quadrilateral are in the ratio of 2:3:5:8. find the measure of each angle into a square, find the length of its side​

Answer 1

Now, we have the ratio of angles as 2 : 3 : 5 : 8. Let the first angle be 2x, so then according to the ratio, the angles will be 2x,3x,5x,8x. Hence, x=20∘. So, the angles will be 40∘,60∘,100∘,160∘.

Answer 2

Answer:

So, the angles will be 40°,60°,100°,160°

Step-by-step explanation:

Given , the angles of a quadrilateral ABCD are in the ratio 2:3:5:8

In a quadrilateral ∠A+∠B+∠C+∠D = 360°

2x + 3 + 5x + 8x = 360

18x = 360

x = 360 ÷ 18 = 20

So , the angles of the quadrilateral is

∠A = (2 × 20)° = 40°

∠B = (3 × 20)° = 60°

∠C = (5 × 20)° = 100°

∠D = (8× 20)° = 160°

So, the angles will be 40°,60°,100°,160°