Angle a and b are suplementary. find m a° and b°

The equation for two supplementary angles is m∠A + m∠B = 180.

We also know that m∠A = 2x + 3, and m∠B = 3x - 223.

So, all we have to do is input both of the angles' values in:

(2x + 3) + (3x - 223) = 180

Simplify:

5x - 220 = 180

Add 220 to both sides:

5x = 400

x = 80

Now that we know the value of x, we just have to input it into the angles:

m∠A = 2(80) + 3 = 160 + 3 = 163°

m∠B = 3(80) - 223 = 240 - 223 = 17°

When two angles are supplementary it means that their sum is 180 degrees.

To find the measure of angle A we must first find x. To find x you will need to make a formula that shows the sum of the supplementary angles set equal to 180 like so...

(2x + 3) + (3x - 223) = 180

2x + 3 + 3x - 223 = 180

First combine like terms...

5x - 220 = 180

Bring -220 to the opposite side by adding it to both sides...

5x - 220 + 220 = 180 + 220

5x = 400

Isolate x by dividing 5 to both sides...

5x/5 = 400/5

x = 80

Now that we know what x is we can plug it into the formula given for the measure of angle a...

2(80) + 3

160 + 3

163

^^^This is the measure of angle a

Do the same thing to find the measure of angle b...

3(80) - 223

240 - 223

17

^^^Measure of angle b

Hope this helped!

~Just a girl in love with Shawn Mendes

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