Solution:
in an isosceles triangle, the angles opposite of the apex are equal. The three angles in any triangle equal 180 degrees. Now, if we let x represent one of the angles opposite the apex, then the angel at the apex will be
[tex]x\text{ + 33}[/tex]Adding up the three angles will equal 180:
[tex]x\text{ + x + (x+33) = 180}[/tex]this is equivalent to:
[tex]3x\text{ = 180-33 = 147}[/tex]that is:
[tex]3x\text{ = 147}[/tex]solving for x, we get:
[tex]x\text{ = }\frac{147}{3}\text{ = 49}[/tex]We can conclude that the angles in the isosceles triangle are 49 degrees, 49 degrees, and (x+33)= (49+33) = 82 degrees. Then, the correct answer is:
Angle 1: 49 degrees
Angle 2: 49 degrees
Angle 3: 82 degrees
