Question

Measures of angles of □ ABCD are in the ratio 2 : 3 : 4 : 6. Find the measures of each angle. *​

Answer 1

Answer:

2x+3x+4x+6x=180

15x=180

x=180÷15

x=12

2x = 12×2

2×=24

3x=12×3

3x=36

4x= 12×4

4x=48

6x= 12×6

6x=72

Answer 2

$\huge{ \red{ \mathbb{ANSWER}}}$

Let the angles of the quadrilateral in degrees be =2a,3a,4a and a

Since the sum of angles of a quadrilateral =360°

2a+3a+4a+a=360°

10a=360°

a=36

So,

the angles of the quadrilateral are =2a=72°

,3a=108°

,4a=144°

and

a=36

Suppose

∠A=72°

and ∠B=108°

Sum of ∠A and ∠B=72°+108°

=180°