One of the angles of an acute, isosceles triangles? is 54 degrees. Which could be the measure of one of the other angles?
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.
or, if another acute angle is also 54°, then the 3rd angle is
180 - 2*54 = 72°