Question

three angles of a quadrilateral are in a ratio 2 3 6 if the fourth angle measure 140 degrees find the other three angles of the quadrilateral​

Answer 1

Answer:

The three angles of a quadrilateral are in a ratio 2: 3 :6 if the fourth angle measure 140 degrees then the other three angles of the quadrilateral​ are 40°, 60° and 120°.

Step-by-step explanation:

Given :

Three angles are in the ratio 2:3:6

Let the common ratio be x.

So,angle 1=2x

angle 2 =3x

Angle 3 =6x

Angle 4=140°

Angle 1+angle 2 +angle 3 +angle 4 =360°

2x + 3x + 6x + 140°=360°

11x + 140°=360°

11x=360°-140°

11x=220°

$x=\frac{220}{11}$

x=20°

So, angle 1=2 × 20 =40°

angle 2 = 3 × 20 = 60°

angle 6 = 6 × 20 = 120°

Answer 2

Answer:

let, the measure of the three angles of quadrilateral be 2x, 3x, &6x.

The measure of the fourth angle of quadrilateral is 140°.

Sum of the angels of quadrilateral=360°.

therefore,

2x+3x+6x+140°=360°

11x=360°-140°

11x=220°

x=220°/11

x=20°

thus, measure of first angle = 2x=40°

measure of second angle=3x=60°

measure of third angle = 6x=120°