Question

One of the angles of an isosceles triangle is 46º.

Find ALL possible measures of the other angles. Also,
in the space below, draw an example of each scenario.

Answer 1

The other 2 angles are 67 and 67 degrees OR 46 and 88 degrees.

Explanation:

If the vertex angle is 46 degrees then , as the other 2 angles are congruent, they are (180 - 46) / 2 = 67 degrees.

The triangle has angles (46, 67 and 67).

If the 2 equal angles are both 46 then the other angles is 180 - 2(46) = 88 degrees.

The other triangle has angles (46, 46 and 88).