Question

PLZ HELP ASAP!!!

the supplement of an angle is 3.5 times as large as the angle. find the angle.

Answer 1

The angle we are looking for is 40 degrees, and it can be found by setting up an equation based on the relationship between an angle and its supplement, which together sum to 180 degrees.

Step-by-step explanation:

The question asks us to find an angle whose supplement is 3.5 times as large as the angle itself. The supplement of an angle means that the two angles add up to 180 degrees. Let's represent the unknown angle as 'x' and thus its supplement will be '3.5x'. Since together they add up to 180 degrees, we can write the equation:

x + 3.5x = 180

Solving for 'x' gives us:

4.5x = 180

Dividing both sides by 4.5 gives us:

x = 180 / 4.5

x = 40 degrees

So, the original angle is 40 degrees, and its supplement is 140 degrees (which is 3.5 times 40).

Answer 2

140° and 40°

Step-by-step explanation:

So its telling you there are two angles of a supplementary angle and one of them is 3.5 times larger than the other one.

So lets say 3.5x and x.

Since a supplementary angle has the sum of 180 degrees,

add 3.5x and x.

3.5x+x=180

4.5x=180

x=40

3.5x=140