An family of isosceles triangles has the property that the two equal angles are each one third the value of the third angle. Find the measures of the angles.

Please Explain.

Question

An family of isosceles triangles has the property that the two equal angles are each one third the value of the third angle. Find the measures of the angles.

Please Explain.

anonymous · Answer

Here is a drawing of the triangle if that helps: |dw:1413935766010:dw|

anonymous · Answer

I don't know the answer, but I believe you write an equation with the given info.

anonymous · Answer

@hiitsme! Yeah, that's what I thought too, but I just don't know how to write the equation because there are no actual numbers given.

anonymous · Answer

Well you have 1/3 and I'm guessing it should equal 180?

aum · Answer

|dw:1413935981068:dw|

anonymous · Answer

@aum The thing I don't get is when I checked my book the answer was: 108 degrees, 36 degrees, 36 degrees

jdoe0001 · Answer

or one can say also |dw:1413936772384:dw|

anonymous · Answer

Do you know how they got that?

anonymous · Answer

@jdoe0001 How would write an equation for that?

aum · Answer

x = 60 - 2/3 * x
x + 2/3x = 60
5/3*x = 60
x = 60 * 3 / 5 = 12 * 3 = 36
180 - 2x = 180 - 2*36 = 180 - 72 = 108

jdoe0001 · Answer

wel.... recall   that the SUM OF ALL INTERNAL ANGLES of a triangle = 180
notice aum 's line, thus the 180

anonymous · Answer

@jdoe0001 @aum Right, that makes sense. Thanks :)

aum · Answer

yw.

jdoe0001 · Answer

yw