Answer:
5) 36
6) 113
Step-by-step explanation:
5)
As a reminder, complementary angles add up to 90; therefore, we can set up an equation:
(5x+4)+(3x+6)=90
8x+10=90
8x=80
x=10
Now that we know x, we can plug x as 10 into the original expression for angle A:
3(10)+6
=30+6
=36
6)
As a reminder, supplementary angles add up to 180; therefore, we can set up an equation:
(5x+8)+(3x+4)=180
8x+12=180
8x=168
x=21
Now that we know x, we can plug x as 21 into the original expression for angle D:
5(21)+8
=105+8
=113
