Step-by-step explanation:
13.
Supplementary angles = 180º (theorem)
Set <ABD + <DBC = 180º
2x + (x+24) = 180º
add like terms = 3x+24=180
3x=156
x = 52
now plug in x for both angles
<ABD = 2(52) = 104
<DBC = 52+24 = 76
14.
complementary angles = 90º (theorem)
set <EFG + <GFH = 90º
y-32 + y = 90
2y - 32 = 90 : combine like terms
2y = 122
y = 61
now plug in y for both angles
<EFG = 61-32 = 29
<GFH = 61
15.
Vertical angles are equal to each other (theorem)
<PQR = <TRS
38 = 5w-7
45 = 5w
w = 9
plug into <TRS
<TRS = 5(9) - 7 = 38
(Also since you know that <PRQ is 38 and that the measure has to be the same for both angles, it can be assumed without algebra that <TRS would be 38º)
Hope this helps, for futher assistance please check out: http://linktr.ee/x.squared/
