Question

Ive been stuck on this problem for a while please help ​

Answer 1

Angle 2k°: 2(45)°= 90°

Angle k°: (45)°= 45°

Explanation:

So the problem already gives you a hint: "Sum of all angles measures: 180°". Therefore, you may state the following:

45°+2k°+k°=180°

Now, we need to solve this equation for k.

45°+2k°+k°=180°

45°+3k°=180°

3k°=180°-45°

3k°=135°

k°=135°/3

k°=45

Way to verify:

45°+2(45)°+(45)°=180°. Correct.

Measure of the angles:

Angle 2k°: 2(45)°= 90°

Angle k°: (45)°= 45°