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Two triangles are similar if their corresponding angles are equal. If triangle D

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Question: Two triangles are similar if their corresponding angles are equal. If triangle DEF is similar to triangle XYZ, and angle D = 30 degrees, what is the measure of angle X?

Options:

  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 120 degrees

Correct Answer: 30 degrees

Solution: 

Since the triangles are similar, corresponding angles are equal. Therefore, angle X = angle D = 30 degrees.

Two triangles are similar if their corresponding angles are equal. If triangle D

Practice Questions

Q1
Two triangles are similar if their corresponding angles are equal. If triangle DEF is similar to triangle XYZ, and angle D = 30 degrees, what is the measure of angle X?
  1. 30 degrees
  2. 60 degrees
  3. 90 degrees
  4. 120 degrees

Questions & Step-by-Step Solutions

Two triangles are similar if their corresponding angles are equal. If triangle DEF is similar to triangle XYZ, and angle D = 30 degrees, what is the measure of angle X?
  • Step 1: Understand that similar triangles have equal corresponding angles.
  • Step 2: Identify the angles in the triangles. We know angle D in triangle DEF is 30 degrees.
  • Step 3: Since triangle DEF is similar to triangle XYZ, angle D corresponds to angle X.
  • Step 4: Therefore, angle X must also be equal to angle D.
  • Step 5: Conclude that angle X = 30 degrees.
  • Triangle Similarity – Triangles are similar if their corresponding angles are equal.
  • Corresponding Angles – In similar triangles, each angle in one triangle corresponds to an equal angle in the other triangle.
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