Answer:
x = 16
Angle p = 50°
Angle q = 40°
Step-by-step explanation:
"complementary" means the angles add up to 90°.
So,
3x+2 + 3x-8 =90
combine like terms.
6x - 6 = 90
add 6
6x = 96
divide by 6
x = 16
If x = 16,
then Angle p=
3x + 2
= 3(16) + 2
= 48 + 2
= 50
Angle p = 50°
And,
Angle q
= 3x - 8
= 3(16) - 8
= 48 - 8
= 40
Angle q = 40°
Check:
40° + 50° = 90°
