an isosceles triangle has two angles that measure 75 degrees. what is the measure of the third angle of the triangle?
well, all three angles add to 180...
To find the measure of the third angle of an isosceles triangle, we need to know that an isosceles triangle has two equal angles.
Let's label the two equal angles as A and B, both measuring 75 degrees. The measure of the third angle can be represented as C.
Since the sum of all angles in a triangle is always 180 degrees, we can set up an equation:
A + B + C = 180
Substituting the known values:
75 + 75 + C = 180
Simplifying the equation:
150 + C = 180
To find C, we subtract 150 from both sides of the equation:
C = 180 - 150
C = 30
Therefore, the measure of the third angle of the isosceles triangle is 30 degrees.