Question

Three angles of a Quadrilateral are in the ratio 1 : 3 : 5
If the fourth angle is 90°, find the other three angles ​

Answer 1

Answer:

Angle A:x=30°

Angle B:3x=90°

Angle C:5x=150°

Step-by-step explanation:

LET THE MEASURE OF THE ANGLES BE 'x'

Therefore the measure of the angles are x, 3x, 5x

Now we know that,

Angle A+Angle B+Angle C+Angle D=360°

We know

Angle D= 90°

So,

x+3x+5x+90°=360°

9x=360°-90°

9x=270°

x=270°/9

x=30°

Angle A:x=30°

Angle B:3x=90°

Angle C:5x=150°

Hope you like my answer and mark me the BRAINLIEST....

Answer 2

Answer:

let the measure angle of triangle be X

let the ratio be x : 3x : 5x

let the third angle be 5x

fourth angle is 90°

we know that,

sum of all angle of quadrilateral is 360°

then,

X+3x+5x+90=360°

9x+90=360

9x=360-90

9x=270

x=270/9

X=30

we know that,

third angle is 5x

5x=5×30

=150

please make it brilliant answer