please please help

Question

A triangle has three angles. The second angle is 20° more than the first. The third angle is 8° more than the second. Find all three angles. Show your work

Answer 1

The angles in a triangle always add up to 180°. So, if we let "x" be the measure of the first angle, then we know the second angle is x + 20° and the third angle is (x + 20°) + 8° (or "x + 28°")

So:

x + x + 20 + x + 28 = 180 [combining lie-terms we get:

3x + 48 = 180 [then subtracting 48 from both sides gives us:

3x = 132 [ dividing both sides by 3 gives us:

x = 44

So the first angle is 44°, the second angle is 64° and the third angle is 72°

Answer 2

Hi Cyan,

As a hint, remember that the three angles in a triangle will always add up to 180.

Then, if you call the first angle X, what would the other two angles be? Once you determine that, you can set the sum of the angles equal to 180 and solve for X!

Good luck,

-Andrew