Question

Find each angle measure in the figure. (x + 30) The angle measures are and : Use the equation to justify your answer. x + (x +30) + 2x =(can you write the answers on the picture please)

Answer 1

x = 50º

x +30º = 80º

2x = 100º

1) Since in any triangle the Sum of the interior angles is equal to 180º, we can write for this triangle:

x + 2x + x +30 = 180º Combine like terms

3x +30 = 180 Subtract 30 from both sides

3x = 150

x = 150/3

x= 50

2) So the angles are:

x = 50º

x +30º = 80º

2x = 100º

3) And the answer is 50º, 80º, and 100º