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The complement of an angle is 1.5 times as large as the angle. Find the angle
and
Three times the measure of an angle is equal to twice the measure of the angle's supplement. What's the measure of the angle?

Respuesta :

Answer:

1st problem: 36° and 54° 2nd problem: 120°

Step-by-step explanation:

Problem 1:

So it pretty much means, that the sums of 2 angles is a complementary angle which is 90 degrees. It also says one angle is 1.5 times more than the other.

So let one angle be x, and the other 1.5x.

Since the sum of both of these angles is 90, make an equation.

1.5x+x=90

2.5x=90

Divide by 2.5

x=36

1.5x= 54

Problem 2:

Three times the measure of an angle is equal to twice the measure of the angle's supplement. What's the measure of the angle?

3x= 2 × 180

3x=360

x=120°