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In triangle GHI, if angle G = 30° and angle H = 45°, what is the measure of angl

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Question: In triangle GHI, if angle G = 30° and angle H = 45°, what is the measure of angle I?

Options:

  1. 105°
  2. 90°
  3. 75°
  4. 60°

Correct Answer: 105°

Solution: 

The sum of angles in a triangle is 180°. Therefore, angle I = 180° - (30° + 45°) = 105°.

In triangle GHI, if angle G = 30° and angle H = 45°, what is the measure of angl

Practice Questions

Q1
In triangle GHI, if angle G = 30° and angle H = 45°, what is the measure of angle I?
  1. 105°
  2. 90°
  3. 75°
  4. 60°

Questions & Step-by-Step Solutions

In triangle GHI, if angle G = 30° and angle H = 45°, what is the measure of angle I?
  • Step 1: Understand that the sum of all angles in a triangle is always 180°.
  • Step 2: Identify the given angles in triangle GHI: angle G = 30° and angle H = 45°.
  • Step 3: Add the measures of angle G and angle H together: 30° + 45° = 75°.
  • Step 4: Subtract the sum of angle G and angle H from 180° to find angle I: 180° - 75° = 105°.
  • Step 5: Conclude that the measure of angle I is 105°.
  • Triangle Angle Sum Theorem – The sum of the interior angles of a triangle is always 180°.
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