The measures of the angles of a triangle are in the ratio 3:3:4. Find the measure of each angle.
Please help! I need to understand this and math is not my best subject...PLease explain asap! Thanks!
The total measures of the angles of a triangle equals 180 degrees.
We will call the three angles we have x, y, and z. So we have:
x + y + z = 180
And
x:y:z = 3:3:4
From this, I can conclude that:
y/x = 3/3 --> 3y = 3x --> y = x
z/x = 4/3 --> 3z = 4x --> z = 4/3*x
Plugging these into the sum of the angles above, we get:
x + x + 4/3*x = 180
10/3*x = 180
x = 54 degrees
y = x = 54 degrees
z = 4/3*x = 4/3*54 = 72 degrees