Question

one one angle of a triangle is equal to the sum of other two if the ratio of other two angles are2:8 find the angle of triangle​

Answer 1

Answer:

Step-by-step explanation:

Since the ratio of two angles is 2:8=1:4, let the angles be m and 4m

Third angle=m+4m=5m

So m+4m+5m=180

10m=180

m=18

So the angkes are 18, 72, and 90

Answer 2

Let angles of ∆ be x,y and z.

A.T.Q,

x=y+z -(1)

also,

y/z=2/8

8y=2z

4y=z -(2)

In ∆ by angle sum property,

x+y+z=180

from (1)

y+z+y+z=180

from (2),

y+4y+y+4y=180

10y=180

y=18°

from (2)

z=4(18°)

z=72°

from (1)

x=72+18

x=90

Therefore, measure of angles are 18°,72° and 90°

hope it helps..