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If an angle measures 60° and is part of an isosceles triangle, what is the measu

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Question: If an angle measures 60° and is part of an isosceles triangle, what is the measure of each of the other two equal angles?

Options:

  1. 60°
  2. 70°
  3. 80°
  4. 90°

Correct Answer: 60°

Solution: 

In an isosceles triangle, the sum of angles is 180°. Therefore, (180° - 60°) / 2 = 60°.

If an angle measures 60° and is part of an isosceles triangle, what is the measu

Practice Questions

Q1
If an angle measures 60° and is part of an isosceles triangle, what is the measure of each of the other two equal angles?
  1. 60°
  2. 70°
  3. 80°
  4. 90°

Questions & Step-by-Step Solutions

If an angle measures 60° and is part of an isosceles triangle, what is the measure of each of the other two equal angles?
  • Step 1: Understand that an isosceles triangle has two equal angles.
  • Step 2: Know that the total sum of angles in any triangle is 180°.
  • Step 3: Since one angle is 60°, subtract this from 180° to find the sum of the other two angles: 180° - 60° = 120°.
  • Step 4: Divide the remaining angle sum (120°) by 2 to find the measure of each of the two equal angles: 120° / 2 = 60°.
  • Step 5: Conclude that each of the other two equal angles measures 60°.
  • Isosceles Triangle Properties – In an isosceles triangle, two sides are equal, and the angles opposite those sides are also equal.
  • Angle Sum Property – The sum of the interior angles of any triangle is always 180°.
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