Respuesta :
Answer:
Two angles are 4° and 176°.
Step-by-step explanation:
Let's assume two angles are A and B such that A+B = 180 degrees (the sum of supplementary angles is always 180°).
Given "the measure of an angle is forty-four times the measure of a supplementary angle". It means A = 44B.
So we have two equations:- A=44B and A+B=180.
Using substitution method, plug A=44B into A+B=180.
44B + B = 180
45B = 180
B = 180/45 = 4 degrees.
then A = 44*4 = 176 degrees.
Hence, two angles are 4° and 176°.
Answer:
4° and 176°
Step-by-step explanation:
We know that the sum of supplementary angles is equal to 180°. And we are given that measure of an angle is forty-four times the measure of a supplementary angle.
Assuming one of the unknown angle to be x, we can write an equation and solve it for x:
[tex]x+44x=180[/tex]
[tex]45x = 180[/tex]
[tex]x=\frac{180}{45}[/tex]
[tex]x=4[/tex]
Now x = 4° and 44x = 44(4) = 176°.