Question

The measure of an angle of triangle is equal to the sum of the measure of the remaining two angles. If the ratio in the
measure of the remaining two anlges is 4:5. then find the measure of three angle​

Answer 1

Step-by-step explanation:

let the two angles be 4x, 5x

so another angle = sum of 4x and 5x

= 9x

now using angle sum Property triangle

in a triangle the sum of all angle is equal to 180 degree.

4x + 5x + 9x = 180

18 x = 180

x = 10°

so three angles be 4x= 40°, 5x = 50°, 9x = 90°