Answer:
Step-by-step explanation:
Hi
<h3>The measure of angles of triangle are 96 degree, 36 degree and 48 degrees</h3>
<em><u>Solution:</u></em>
The ratio of the measures of the angles in a triangle is 8:3:4
Let the first angle be 8x
Let the second angle be 3x
Let the third angle be 4x
We know that,
sum of all angles in triangle is 180 degrees
Therefore,
8x + 3x + 4x = 180
15x = 180
x = 12
Thus,
First angle = 8x = 8(12) = 96
second angle = 3x = 3(12) = 36
third angle = 4x = 4(12) = 48
Thus measure of angles of triangle are 96 degree, 36 degree and 48 degrees
Let's call one number x and one number y.
x/2=y
x+y=57
We can set these equations equal to each other to solve for the numbers by subtracting x from both sides of the second equation. Now the equations are:
y=-x+57 and x/2=y
Since both equations equal y, they are also equal to each other:
-x+57=x/2
First, multiply both sides by 2:
-2x+114=x
Add 2x to both sides.
114=3x
Divide both sides by 3.
38=x
One of the numbers is 38. Now, we can plug 38 in for x in either of the equations to solve for y:
(38)+y=57
Subtract 38 from both sides:
y=19
The two numbers are 38 and 19.
I hope this helps :)
