The ratio of the measures of the angles in a triangle is 8:3:4. Find the measures of the angles
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Let x be the measure of the angle
Equate the ratio 8:3:4 by adding 8 plus 3 plus 4 equals 180(the total degrees in a triangle).
8x plus 3x plus 4x equals 180.
15x equals 180.
Divide 180 by 15 to find the value of x.
15x/15 equals 180/15
x equals 12.
Then, from the ratio 8:3:4 will be 8x plus 3x plus 4x equals 180.
Substitute the value of x.
> 8x plus 3x plus 4x equals 180
> 8(12) plus 3(12) plus 4(12) equals 180
> 96 plus 36 plus 48 equals 180
> 180 equals 180.
Because the answer is equal to 180, then our solution is correct.
The angles of the triangles are; 96 , 36 and 48