In a triangle, one angle is 24 degrees and the other 78 degrees. What a triangle it is.

Let’s find the value of the third angle of this triangle.

Let’s denote it by x.

It is known from the problem statement that in this triangle one of the angles is 24 degrees, and the other goal is 78 degrees.

Since the sum of the angles of any triangle is 180 °, we can write the following equation:

24 + 78 + x = 180.

We solve the resulting equation and find the third angle of this triangle:

102 + x = 180.

Subtracting 102 from the right and left sides of the equation, we get:

102 + x – 102 = 180 – 102;

x = 78 °.

Since in this triangle two angles are equal and all angles are less than 90 °, this triangle is isosceles and acute-angled.

Answer: A triangle is isosceles and acute-angled.

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