Question

One of the angles of an acute, isosceles triangles? is 54 degrees. Which could be the measure of one of the other angles?

Answer 1

Since the triangle is isosceles, the other two angles must be congruent. Let x be the measure of one of the congruent angles.

Using the fact that the angles in any triangle add up to 180 degrees, we can write:

54 + x + x = 180

Simplifying the left side, we get:

54 + 2x = 180

Subtracting 54 from both sides, we get:

2x = 126

Dividing both sides by 2, we get:

x = 63

So the measure of one of the other angles could be 63 degrees.

Answer 2

or, if another acute angle is also 54°, then the 3rd angle is
180 - 2*54 = 72°