SOLUTION: I need help with the follow Geometry word problem. The measure of the 1st angle is 7 times more than one third of the measure of the second angle squared. If the angles are supp

Question 362979: I need help with the follow Geometry word problem.
The measure of the 1st angle is 7 times more than one third of the measure of the second angle squared. If the angles are supplementary find the measure of each angle.
My attempt: 7x + 1/3x^2 = 180
Thank you for your help.
Peter
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
I'm a little confused.
Is it 7 more than 1/3 of the second angle squared or is it 7 times more than (1/3) of the second angle squared???
First name your variables.
Let the two angle be A and S.
By definition,

Substitute,

Use the quadratic formula,

Only the positive solution makes sense here,

Then,

.
.
.
The other way,

Substitute,

You can factor that one,

Only the positive solution makes sense here,

Then

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