Answer:
14. d
15. b
Explanation:
steps for #14:
1. complementary angles are angles that equal 90 degrees when added together. so, those two angles equal 90. make an equation to represent this.
(x + 5) + (x - 9) = 90
2. combine like terms.
2x - 4 = 90
3. solve for x.
2x = 94
x = 47
4. plug x into both formulas to find the measurements of each angle.
47 + 5 AND 47 - 9
d. angle DFG = 52, angle JKL = 38
steps for #15:
1. when angles are linear pairs, it means they equal 180 degrees when added together. so, these two angles equal 180. make an equation to represent this.
(x - 39) + (x + 61) = 180
2. combine like terms.
2x + 22 = 180
3. solve for x.
2x = 158
x = 79
4. plug x into both formulas to find the measurements of each angle.
79 - 39 AND 79 + 61
b. angle 1 = 40, angle 2 = 140