MATHEMATICAL CONNECTIONS Identify an algebraic equation you can use to find the measure of each angle based on the given description. Then find the measure of each angle.
The measure of one angle is 3 more than 1/2 the measure of its supplement

x=32

M=115

N=50

Step-by-step explanation:

Since we know that all the angles of a triangle add up to 180, we can find the value of x by making it an equation.

x+18+4x-13+15=180

Now solve for x.

Add like terms.

5x+20=180

Subtract 20 on both sides.

5x=160

Divide both sides by 5 to isolate x.

x=32.

Now, substitute into 32 for x into the equations to find the measures of the angles.

32+18=50 so the measure of angle n is 50.

4(32)-13

128-13=115 so angle M is 115.

Now we can check the angles.

115+50+15=180?

165+15=180

180=180.

Hope this helps!

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