Question

three angles of a quadrilateral are interested thr ratio 3:5:7. the mean of these three angles is 75. find all the four angles of the quadrilateral​

Answer 1

Answer:

First angle=45°

Second angle=75°

Third angle=105°

Fourth angle=135°

Step-by-step explanation:

Let the ratio of these three angles be x

And,Mean=

$\frac{ sum \: of angles}{no \: of \: angles}$

Thus,75=

$\frac{3x + 5x + 7x}{3}$

75×3 =

$15x$

Then,

225 = 15x

Thus,

x = 225/15

x = 15°

Now,

$sum \: of \:all \: angles \: of \: a \: quadrilateral = \: {360}^{0}$

Thus,

45° + 75° + 105° + 4th angle = 360°

4th angle = 360°-225°

Hence, 4th angle = 135°