In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum of the other angles. Which of the following could represent the measures of the three angles?

Question

In a triangle, the measure of the second angle is twice the measure of the first angle. The third angle is equal to the sum of the other angles.   Which of the following could represent the measures of the three angles?

anonymous · Answer

angle 1  is x. angle 2 is 2x. angle 3 is x+2x, which is 3x. in total, there is 6x. there is 180 degrees in a triangle, so divide 180 by 6, and you get x, which is 30. however, angle two is 2x, so angle 2's measure is 60 degrees and angle 1 is 30 and angle 3 is 90.

jdoe0001 · Answer

say 
x = first angle

    "measure of the second angle is twice the measure of the first angle "
2x = second angle

    "third angle is equal to the sum of the other angles."

well, the other 2 angles are, "x" and twice the measure of "x", that is, "2x", so their sum is

x + 2x   = third angle


#  keep in mind that the sum of all internal angles is 180 degrees
so

x + 2x + ( x + 2x ) = 180

if you solve for "x", you'd find their measure :)

anonymous · Answer

Thank you :D

jdoe0001 · Answer

yw