Problema Solution
Two angles of a triangle have the same measure. The measure of the third angle is 4 degrees less than twice the measure of each of the the equal angles. Find the measure of the three angles.
Answer provided by our tutors
The two angles of equal measure are each 46 degrees and the the 3rd angle is equal to 88 degrees.
To find the two equal angles, set up the following equation
X=2s-4
The 3 angles must sum up to 180 degrees. So if you set X equal to 180 degrees, then you get
180=2s-4 where s is equal to 184/2 and is equal to 92. This is the combined value of both of the equal angles in the triangle. To find each side just divide by 2 since the two are equal to one another and you will get each to be 46 degrees.
To find the 3rd and final angle can be found as follows:
x=2s-4 where x is the 3rd angle.
x=2(46)-4
x=92-4=88 degrees