Question

A triangle has interior angle measures of c–6°, 2c–17°, and 3c–19°. What is the value of c

Answer 1

Answer: c = 37

1. As we know sum of angles in triangle is equal to 180 degrees, we just add all those angles and we make equation equal to 180:

3c - 19 + 2c - 17 + c - 6 = 180

2. Simplify:

3c + 2c + c - 19 - 17 - 6 = 180
6c - 42 = 180
6c = 180 + 42
6c = 222 |:6
c = 37

So value of c is equal to 37. Proof:

(37 - 6) + (2 * 37 - 17) + (3 * 37 - 19) =
31 + 57 + 92 = 180
180 = 180

And if both sides of equation are the same, the answer is correct.
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