Question

if 10°subtracted from in each angle of a triangle their ratio becomes 6:4:5. Find the measure of greatest angle of the triangle.

Answer 1

so equation will form is
(6x-10)+(4x-10)+(5x-10)=180
=6x-10+4x-10+5x-10=180
=15x-30=180
=15x=180-30
=15x=150
X=150/15
X=10
angle are
60°,40°,50°
so greater angle is 60°

Answer 2

The Main Answer is: The greatest angle measures 70°

Given: Ratio of 3 angles of a triangle after subtracting 10° from each is 6:4:5

i.e., x-10 : y-10 : z-10 = 6:4:5;  where x, y, and z are angles of the triangle

To Find: Measure of the greatest angle

Solution: Let the angles of the triangle be x, y, z

According to the Angle Sum Property for a triangle-

x + y + z = 180 -----(1)

Now, as given in the question-

x-10 : y-10 : z-10 = 6:4:5

Let the common factor of the ratio be 'k'

∴ x- 10 = 6k  -----(2)

y-10 = 4k  -----(3)

z-10 = 5k -----(4)

Adding (2), (3) and (4)

x + y + z - 30 = 15k

Put (1) in above equation

180 - 30 = 15k ⇒  15k = 150 ⇒ k = 10

Put k= 10 in (2), (3) and (4)

x-10 = 60 ⇒ x = 70

y-10 = 40 ⇒ y = 50

z-10 = 50 ⇒ z = 60

Hence the largest angle is x = 70°

Therefore, the largest angle of the given triangle is 70°

For similar questions on angles, refer to:

https://brainly.in/question/19515570?msp_srt_exp=6

#SPJ3