The consecutive angles of a parallelogram measure (x +30)° and 4x°. What is the measure of the smallest angle?

Given:

Consecutive angles of a parallelogram measure (x +30)° and 4x°.

To find:

The smallest angle.

Solution:

Consecutive angles of a parallelogram measure (x +30)° and 4x°.

We know that, sum of two consecutive angles of a parallelogram is 180 degrees.

Now,

Divide both sides by 5.

Now,

One angle:

Another angle:

Therefore, the smallest angle is 60 degrees.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

18.75 gallons

step-by-step explanation: