Question

the measure of an angle is forty-four times the measure of a supplementary angle.What is the measure of each angle?

Answer 1

4° and 176°

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:

`x+44x=180`

`45x = 180`

`x=(180)/(45)`

`x=4`

Now x = 4° and 44x = 44(4) = 176°.

Answer 2

Two angles are 4° and 176°.

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°.