Question

Each of the two equal angles of a triangle is seven times the third angle. Find the measure of all the angles.​

Answer 1

Answer:

12°, 84°, 84°

Step-by-step explanation:

let the unequal(third) angle be x

then each equal angle = 7x

so, one angle of triangle= x

second angle= 7x

third angle= 7x

according to the property of triangle that the sum of all angles of a triangle is 180°

x+7x+7x = 180°

15x = 180°

x= 180/15 (transposing 15 to RHS)

x= 12°

so first angle= x= 12°

so first angle= x= 12°second angle = 7x = 7×12= 84°

so first angle= x= 12°second angle = 7x = 7×12= 84°third angle = 7x= 7×12= 84°