SOLUTION: Can you please help me to solve this problem? In a equilateral triangle: Angle B=5x-25 and Angle C= 3x+9 Use this information to write an equation and solve for x.

Question 994567: Can you please help me to solve this problem? In a equilateral triangle:
Angle B=5x-25 and Angle C= 3x+9
Use this information to write an equation and solve for x.
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Since it is an equilateral triangle, it is also an equiangular triangle. That tells you two things. One, since the sum of the angles in any triangle is 180, the measure of any of the angles of an equiangular triangle must be one-third of 180, or 60 degrees. Two, since all of the angles are equal, the two expressions representing the measures of angles C and B must be equal.

So, you can either set the two expressions equal to each other and solve for or set either of the expressions equal to 60 and solve for

John

My calculator said it, I believe it, that settles it

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Can you please help me to solve this problem? In a equilateral triangle:
Angle B=5x-25 and Angle C= 3x+9
Use this information to write an equation and solve for x. -----
------
Note:: All the angles are equal.
----
Solve:: 5x-25 = 3x+9
2x = 34
---
x = 17
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Cheers,
Stan H.
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