Question

A triangle has an angle that measures 125.6°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?

Answer 1

let the angles be 125.6, 3x and 5x...
as we know sum of all angles of ∆ = 180 {angle sum property}

125.6+8x=180°
8x=180-125.6
8x = 54.4
x = 54.4/8
= 6.8

angles will be 3*(6.8) and 5*(6.8)
20.4 and 34...

angles = >
20.4°
34°
125.6°

Answer 2

Let those two angles be x

now we have 3x and 5x

Alq sum of three angle of a triangle =180°

125.6+3x+5x=180

8x=180-125.6

8x=54.40

x=54.40/8

x=6.80

Now, 3x=3*6.80=20.4

5x=5*6.80=34

Hence the your solutionis completed!