Answer:
Supplement angle: 170°
Step-by-step explanation:
Equations
Let x=the required angle. Since complementary angles sum 90°, then 90-x is the complement of x. According to the conditions of the question:
[tex]90-x=40+4x[/tex]
Simplifying:
[tex]90-40=4x+x=5x[/tex]
Solving:
[tex]x=50/5=10[/tex]
The angle is 10°. The supplement angle is 180°-10°=170°.
Supplement angle: 170°
