In a triangle, if one angle measures 45 degrees and the other measures 45 degree

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Question: In a triangle, if one angle measures 45 degrees and the other measures 45 degrees, what type of triangle is it?

Options:

Correct Answer: Isosceles

Solution:

A triangle with two equal angles is an isosceles triangle.

In a triangle, if one angle measures 45 degrees and the other measures 45 degrees, what type of triangle is it?

In a triangle, if one angle measures 45 degrees and the other measures 45 degrees, what type of triangle is it?

Step 1: Identify the angles given in the triangle. We have one angle measuring 45 degrees and another angle also measuring 45 degrees.
Step 2: Recall that a triangle has three angles and the total of all angles in a triangle is always 180 degrees.
Step 3: Calculate the third angle by subtracting the sum of the two known angles from 180 degrees. So, 180 - (45 + 45) = 180 - 90 = 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 (in this case, 45 degrees) is classified as an isosceles triangle.

Triangle Types – Understanding the classification of triangles based on their angles and sides, specifically recognizing isosceles triangles which have at least two equal angles.
Angle Sum Property – The sum of the angles in any triangle is always 180 degrees, which can help confirm the type of triangle based on given angles.