The measure of one angle in a triangle is 8c+10 the second angle is 3c-20 and the third angle is 5c+30. Find the value of c and the measures of each angle
To find the value of c, we need to use the fact that the sum of the angles in a triangle is always 180 degrees.
So we set up the equation:
(8c + 10) + (3c - 20) + (5c + 30) = 180
Combining like terms, we get:
16c + 20 = 180
Subtracting 20 from both sides, we get:
16c = 160
Dividing by 16, we find that c = 10.
Now that we have found the value of c, we can find the measures of each angle by plugging in c = 10:
First angle: 8(10) + 10 = 80 + 10 = 90 degrees
Second angle: 3(10) - 20 = 30 - 20 = 10 degrees
Third angle: 5(10) + 30 = 50 + 30 = 80 degrees
So the measures of the angles are 90 degrees, 10 degrees, and 80 degrees.