Question

one of the angle of the triangle is equal to the sum of the other two angles if the ratio of the other two angles is 2:7 find all the angles of the triangle
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Answer 1

Step-by-step explanation:

we have to find the angle of the triangle.

let the angle of triangle be x,y and z

as one angle of a triangle is equal to the sum of others two

x=y±z

also the ratio of the other angle is 2:3

y:z=2:7

let y be 2a and z be 7a

x=2a+7a=9a

by angle sum property of triangle

x+y+z=180

9a+2a+7a=180

28a=180=5.66