Question

Is this correct? triangle angles exterior

Answer 1

@Kainui

Answer 2

@Asylum15

Answer 3

You have 69 + 31 = 100.

This means the 3rd angle should be 80 degrees since a flat horizontal line has an angle of 180.

69 + 31 + 80 = 180.

Answer 4

x = 21 is correct.

Answer 5

The Exterior Angle Theorem proves that

The triangle that you have provides that you have two sides of 2x + 27 and 2x - 11. Those two sides, according to the exterior angle theorem, will equal to 100.

Therefore, you would have \(2x + 27 + 2x - 11 = 180\). When you combine the like terms you get \(4x + 16 = 100\). Finally, when you isolate x you should get that \(x = 21\).

Therefore, you are \(\color{green}{\text{correct}}\)! \(\checkmark\)