Answer:
See below
Explanation:
Since the diagram is a triangle, the angles add up to 180 degrees.
a. x = 30. When x = 30 you can solve for the bottom two angles. Remember that when you divide by a fraction you multiply by the reciprocal. Therefore:
x * 6/5 = 30 * 6/5 = 180/5 = 36 degrees.
x * 3/2 + 15 = 30 * 3/2 + 15 = 90/2 + 15 = 45 + 15 = 60 degrees.
Since we know two of the angles we can solve for the third (y) value.
36 + 60 + y = 180.
96 + y = 180
y = 84.
b. x = 43
x * 6/5 = 43 * 6/5 = 258/5 = 51.6
x * 3/2 + 15 = 43 * 3/2 + 15 = 129/2 + 15 = 64.5 + 15 = 79.5
Again we now know two angles and can solve for the third.
51.6 + 79.5 + y = 180
131.1 + y = 180
y = 48.9
c. It would make it an obtuse angle