Question

Q6. Three angles of a quadrilateral are in the ratio 3:2:1. The sum of the smallest and the greatest angle is
180°. Find all the angles of a quadrilateral.​

Answer 1

Answer:

105;90;45

Step-by-step explanation:

3x+X=180

4x=180

X=180/4

X=45

3x=3*45=105

2x=2*45=90

1x=1*45=45

Answer 2

Answer:

Mark brainliest answer.

Step-by-step explanation:

→ Let the angles of quadrilateral be 3x,2x,x and x

→ Now,

→ It is said , smallest angle + largest angle = 180°

→ smallest angle = 3x

→ largest angle = x

→ x + 3x = 180

→ 4x = 180

→ x = 180/4

→ x = 45

→ Now we have value of x so now put the value of x in the angles.

→ 3x = 3(45) = 135°

→ 2x = 2(45) = 90°

→ x = 45°

→ x = 45°

→ So, the angles of quadrilateral are:

→ 135° , 90° , 45° , 45°