If two angles of a triangle are 45 degrees and 45 degrees, what type of triangle

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Question: If two angles of a triangle are 45 degrees and 45 degrees, what type of triangle is it?

Options:

Correct Answer: Isosceles

Solution:

A triangle with two equal angles is an isosceles triangle.

If two angles of a triangle are 45 degrees and 45 degrees, what type of triangle is it?

If two angles of a triangle are 45 degrees and 45 degrees, what type of triangle is it?

Step 1: Identify the angles given in the triangle. Here, the angles are 45 degrees and 45 degrees.
Step 2: Recall that a triangle has three angles. Since two angles are 45 degrees, we can find the third angle by using the fact that the sum of all angles in a triangle is 180 degrees.
Step 3: Calculate the third angle: 180 degrees - (45 degrees + 45 degrees) = 180 degrees - 90 degrees = 90 degrees.
Step 4: Now we have all three angles: 45 degrees, 45 degrees, and 90 degrees.
Step 5: Recognize that a triangle with two equal angles (45 degrees and 45 degrees) is classified as an isosceles triangle.

Triangle Types – Understanding the classification of triangles based on their angles and sides, specifically isosceles triangles which have at least two equal angles.