Question

The diagram shows a triangle.

Answer 1

38

Explanation:

the sum of the interior angles of a triangle is 180

2c + 3c -48 +2c -38 = 180 Combine like terms

7c + -86 = 180 Add 86 to both sides

7x = 266 Divide both sides by 7

x = 38

Answer 2

Answer: c = 38

Explanation:

We know that a triangle's angles add up to 180 degrees. We will write an equation and solve it by combining like terms and then using inverse operations.

Given:

(2c)° + (2c - 38)° + (3c - 48)° = 180°

Distribute it out:

2c° + 2c° - 38° + 3c° - 48° = 180°

Combine like terms:

7c° - 86° = 180°

Add 86 to both sides:

7c° = 266°

Divide both sides by 7:

c = 38