Question

An isosceles triangle has one angle of 84°.

Write down the possible sizes of the other two angles in the triangle.
Pair 1 .......
Pair 2
and
and ......
degrees
degrees

Answer 1

Possible Answer 1) 84 and 12

Possible Answer 2) 48 and 48

Explanation:

An isosceles triangle has two angles that are equal. Thus, if 84 is an angle which is equal to another, one other angle is 84. The angles in a triangle add to 180, so we must do 180 - (84x2), which gives us 12.

Alternatively, if 84 is NOT equal to another angle, then the remaining two angles must be equal. We must do 180-84. This gives us 96, which we must divide by 2 (as there are 2 equal angles) to give us 48.