Two supplementary angles have measures in the ratio 5: 4 what is the measure of the smaller angle

The smaller one measures 80 degrees.

Step-by-step explanation:

We are given:

So we have a system to solve.

I'm going to solve the bottom equation for by multiplying on both sides:

.

Let's plug this into the first equation: :

Multiply both sides by 4/9:

[texb=80[/tex].

This means .

We do have .

So the smallest of the two angles is the one that measures 80 degrees.

The one that is the larger of the two is the one that measures 100 degrees.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5