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If two angles of a triangle are 50 degrees and 70 degrees, what type of triangle

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Question: If two angles of a triangle are 50 degrees and 70 degrees, what type of triangle is it?

Options:

  1. Acute
  2. Right
  3. Obtuse
  4. Equilateral

Correct Answer: Acute

Solution:

The sum of the angles is 120 degrees, which means the third angle is 60 degrees. All angles are less than 90 degrees, so it is an acute triangle.

If two angles of a triangle are 50 degrees and 70 degrees, what type of triangle

Practice Questions

Q1
If two angles of a triangle are 50 degrees and 70 degrees, what type of triangle is it?
  1. Acute
  2. Right
  3. Obtuse
  4. Equilateral

Questions & Step-by-Step Solutions

If two angles of a triangle are 50 degrees and 70 degrees, what type of triangle is it?
  • Step 1: Identify the two given angles of the triangle, which are 50 degrees and 70 degrees.
  • Step 2: Add the two angles together: 50 degrees + 70 degrees = 120 degrees.
  • Step 3: Since the total sum of angles in a triangle is always 180 degrees, subtract the sum of the two angles from 180 degrees to find the third angle: 180 degrees - 120 degrees = 60 degrees.
  • Step 4: Now we have all three angles: 50 degrees, 70 degrees, and 60 degrees.
  • Step 5: Check if all angles are less than 90 degrees. Since 50 degrees, 70 degrees, and 60 degrees are all less than 90 degrees, the triangle is classified as an acute triangle.
  • Triangle Angle Sum – The sum of the interior angles of a triangle is always 180 degrees.
  • Types of Triangles – Triangles can be classified as acute, right, or obtuse based on their angles.
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