SOLUTION: "Determine the angle measures of the following triangle: The first angle is less than 90�. The second angle is 3/4 as large as the first angle. The third angle is 2/3 as large as t

Question 546256: "Determine the angle measures of the following triangle: The first angle is less than 90�. The second angle is 3/4 as large as the first angle. The third angle is 2/3 as large as the second." Help!!!
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
The sum of the angles of a triangle is 180 degrees.
angle 1 = x
angle 2 = 3x/4
angle 3 = (2/3)(3x/4)

x + 3x/4 + (2/3)(3x/4) = 180

After doing the math, I found angle 1 = 80 degrees, angle 2 = 60 degrees and angle 3 = 40 degrees.

The prove:
The sum of the angles of a triangle is 180 degrees.

80 + 60 + 40 = 180

180 = 180...It checks!!

RELATED QUESTIONS
the sum of the angles of a triangle is 180 degrees. angle a is twice as larg as angle b... (answered by stanbon)

The measure of the first angle of a triangle is four times as large as the measure of the (answered by rfer)

Second angle of a triangle is 3 times as large as the first angle. The third angle is 4... (answered by mananth)

In a triangle, the second angle is 5 times as large as the first angle. The third angle... (answered by addingup,Alan3354)

in triangle ABC, angle C is three times as large as angle A. Angle B measures 5 degrees... (answered by pmatei)

Two angles are complementry if the sum of their measures is 90*. The measure of the first (answered by ewatrrr)

Two angles are complementary if the sum of their measures is 90�. The measure of the... (answered by rapaljer)

two angles are complementary if the sum of their measures 90 degrees. Themeasure of the... (answered by nerdybill,MathTherapy)

The measure of the first angle of a triangle is four times as large as the measure of the (answered by aliafzal14)