If one angle of a triangle is 90 degrees and the other two angles are equal, wha

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What’s inside this PDF?

Question: If one angle of a triangle is 90 degrees and the other two angles are equal, what are the measures of the other two angles?

Options:

30 degrees
45 degrees
60 degrees
75 degrees

Correct Answer: 45 degrees

Solution:

In a triangle, the sum of the angles is 180 degrees. If one angle is 90 degrees, the remaining two angles must sum to 90 degrees. Since they are equal, each must be 45 degrees.

If one angle of a triangle is 90 degrees and the other two angles are equal, wha

Practice Questions

If one angle of a triangle is 90 degrees and the other two angles are equal, what are the measures of the other two angles?

30 degrees
45 degrees
60 degrees
75 degrees

Questions & Step-by-Step Solutions

If one angle of a triangle is 90 degrees and the other two angles are equal, what are the measures of the other two angles?

Step 1: Understand that a triangle has three angles.
Step 2: Know that the total sum of the angles in a triangle is always 180 degrees.
Step 3: Identify that one angle is given as 90 degrees.
Step 4: Subtract the 90 degrees from the total 180 degrees to find the sum of the other two angles: 180 - 90 = 90 degrees.
Step 5: Since the other two angles are equal, divide the remaining 90 degrees by 2: 90 / 2 = 45 degrees.
Step 6: Conclude that each of the other two angles measures 45 degrees.

Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180 degrees.
Properties of Isosceles Triangles – In an isosceles triangle, the angles opposite the equal sides are equal.

If one angle of a triangle is 90 degrees and the other two angles are equal, wha

What’s inside this PDF?

If one angle of a triangle is 90 degrees and the other two angles are equal, wha

Practice Questions

Questions & Step-by-Step Solutions

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