Question

Assuming x and the number below are measured in degrees find re value of x and find the unknown angle measure in each triangle.

Answer 1

x = 16°

4x-7 = 57°

3x+4 = 52°

5x-9 = 71°

Explanation:

All angles of any triangle add up to 180°, so if we add up each equation and set it equal to 180 we can find x.

4x-7 + 3x+4 + 5x-9 = 180

Simplify by combining like terms.

12x-12 = 180

Then, do inverse operations to find x.

12x=192

x=16

Now that we found x, we can substitute 16 for x in each angle equation in the triangle.

4(16)-7 = 57

3(16)+4 = 52

5(16)-9 = 71