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In triangle DEF, if angle D = 40° and angle E = 70°, what is the measure of angl

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Question: In triangle DEF, if angle D = 40° and angle E = 70°, what is the measure of angle F?

Options:

  1. 70°
  2. 80°
  3. 90°
  4. 100°

Correct Answer: 80°

Solution: 

Angle F = 180° - (40° + 70°) = 70°.

In triangle DEF, if angle D = 40° and angle E = 70°, what is the measure of angl

Practice Questions

Q1
In triangle DEF, if angle D = 40° and angle E = 70°, what is the measure of angle F?
  1. 70°
  2. 80°
  3. 90°
  4. 100°

Questions & Step-by-Step Solutions

In triangle DEF, if angle D = 40° and angle E = 70°, what is the measure of angle F?
  • Step 1: Understand that the sum of all angles in a triangle is always 180°.
  • Step 2: Identify the given angles in triangle DEF: angle D = 40° and angle E = 70°.
  • Step 3: Add the measures of angle D and angle E together: 40° + 70° = 110°.
  • Step 4: Subtract the sum of angles D and E from 180° to find angle F: 180° - 110° = 70°.
  • Step 5: Conclude that the measure of angle F is 70°.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180°.
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