Question

Three angles of a quadrilateral are in the ratio 2:3:5 and the fourth angle is 90°. Find the measures of the other three angles.

Answer 1

Answer:

Step-by-step explanation:

Given : Three angles are in the ratio 2:3:5

Let the common ratio be x.

So, angle 1=2x

angle 2 =3x

Angle 3 =5 x

Angle 4=90°

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

2x+3x+5x+90°=360°

10x+90°=360°

10x=360°-90°

10x=270°

x=270°/10

x=27°

So, angle 1 =2×27

=54

angle 2 =3×27

=81

angle 3 =5×27

=135

Answer 2

hola,

let the first angle be 2x
second angle be 3 x
third angle be 5x
fourth angle=90°(given)

sum of all the angles of a quadrilateral is 360°

2x+3x+5x+90°=360°
10x+90°=360°
10x=360°-90°
10x=270°
x=270°/10
x=27

so,
first angle=2x=2*27=54°
second angle =3x=3*27=81°
third angle=5x=5*27=135°

hope it helps you