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In triangle UVW, if angle U = 45 degrees and angle V = 45 degrees, what type of

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Question: In triangle UVW, if angle U = 45 degrees and angle V = 45 degrees, what type of triangle is it?

Options:

  1. Equilateral
  2. Isosceles
  3. Scalene
  4. Right

Correct Answer: Isosceles

Solution: 

Since two angles are equal (45 degrees each), triangle UVW is an isosceles triangle.

In triangle UVW, if angle U = 45 degrees and angle V = 45 degrees, what type of

Practice Questions

Q1
In triangle UVW, if angle U = 45 degrees and angle V = 45 degrees, what type of triangle is it?
  1. Equilateral
  2. Isosceles
  3. Scalene
  4. Right

Questions & Step-by-Step Solutions

In triangle UVW, if angle U = 45 degrees and angle V = 45 degrees, what type of triangle is it?
  • Step 1: Identify the angles given in triangle UVW. We have angle U = 45 degrees and angle V = 45 degrees.
  • Step 2: Recall the definition of an isosceles triangle. An isosceles triangle has at least two equal angles.
  • Step 3: Since angle U and angle V are both 45 degrees, they are equal.
  • Step 4: Conclude that triangle UVW has at least two equal angles, which means it is an isosceles triangle.
  • Triangle Classification – Understanding the properties of triangles based on their angles and sides, specifically identifying isosceles triangles.
  • Angle Sum Property – Recognizing that the sum of angles in a triangle is always 180 degrees.
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