Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

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.