Question

What is m angle A ?

___°

Answer 1

118 degrees

Explanation:

To find this, obviously, you must first solve for x. To do this you must find, in what way do all 3 angles relate. One thing we do know, all angles in a triangle must add up to 180 degrees. Therefore lets set up an equation where we are adding all the equations and setting it equal to 180:

x + (x - 8) + (3x + 13) = 180

Now we solve for x.

Combine like terms:

x + x + 3x = 5x

-8 + 13 = 5

5x + 5 = 180

Subtract 5 from both sides:

5x = 175

Divide both sides by 5:

x = 35

Now we must plug in 35 for x in the equation for angle A:

3(35) + 13 = 118

Another way we could've done this is plug in x for angle c and angle b and just subtract those values from 180 to get 118.