Problema Solution
The measure of angle1 (read as angle 1) of a triangle is one-half that of angle2. The measure of angle3 is equal to the sum of the measures of angle1 and angle2. Find each angle measure.
Answer provided by our tutors
angles in a triangle always sum to 180 degrees
let 'x' represent the measure of angle 2, then 'x/2' represents the measure of angle 1 and 'x+x/2' represents the measure of angle 3, therefore:
180 = x + x/2 + x+x/2
solving for 'x' we have x=60
60/2 = 30
60 + 60/2 = 90
the measures of the angles 1, 2, and 3 are 30, 60 and 90, respectively