Question

Ine of the angles of the triangle is equal to the sum of the other two angles. If tye ratio of the other angles is 4:5. Find the measure of the all angles

Answer 1

answer-

ratio of other two angles = 4:5

so let the angles be = 4x:5x

third angle = sum of these two angles

so, third angle = 4x + 5x = 9x

now, we know that sum of all angles of a triangle = 1800

so, 9x + 4x + 5x = 180

18x = 180

x = 180/18

x = 10

so the angles are = [4*10], [5*10] and [9*10]

angles are = 40 , 50 and 90

hope it helps

have a nice day