Triangle Angle Problem: Can 90, 115, and 35 Degrees Form a Triangle?

Triangle Angle Sum with Invalid Measures

Angle A equals 90°.
Angle B equals 115°.
Angle C equals 35°.

Can these angles form a triangle?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Can these angles form a triangle?
00:03 The sum of angles in a triangle equals 180
00:07 We want to check if our sum of angles equals 180
00:12 Let's substitute appropriate values and solve
00:23 The sum of angles is greater than 180 therefore cannot form a triangle
00:27 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Angle A equals 90°.
Angle B equals 115°.
Angle C equals 35°.

Can these angles form a triangle?

2

Step-by-step solution

We add the three angles to see if they are equal to 180 degrees:

90+115+35=240 90+115+35=240
The sum of the given angles is not equal to 180, so they cannot form a triangle.

3

Final Answer

No.

Key Points to Remember

Essential concepts to master this topic
  • Rule: Sum of all triangle angles must equal exactly 180°
  • Technique: Add all angles: 90° + 115° + 35° = 240°
  • Check: If sum ≠ 180°, then angles cannot form a triangle ✓

Common Mistakes

Avoid these frequent errors
  • Assuming any three angles can form a triangle
    Don't accept three angles without checking their sum = wrong conclusion! Some angle combinations are impossible in triangles. Always verify that the three angles add up to exactly 180° before concluding they can form a triangle.

Practice Quiz

Test your knowledge with interactive questions

Indicates which angle is greater

FAQ

Everything you need to know about this question

Why must triangle angles always add to 180°?

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This is a fundamental property of triangles in plane geometry. No matter what type of triangle - scalene, isosceles, or equilateral - the interior angles will always sum to exactly 180° 180° .

What if my calculation gives 179° or 181°?

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Check your arithmetic carefully! Triangle angles must equal exactly 180° 180° . If you get 179° or 181°, either you made a calculation error or the angles truly cannot form a triangle.

Can a triangle have an angle bigger than 90°?

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Yes! Obtuse triangles have one angle greater than 90°. However, the sum of all three angles must still equal 180°, so the other two angles must be smaller to compensate.

What's the largest possible angle in a triangle?

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The largest angle in a triangle must be less than 180°. In practice, it's usually much smaller since the other two angles must be positive and all three must sum to 180°.

How do I remember this rule for tests?

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Think: "Triangle = 180". You can also remember that a straight line is 180°, and triangle angles "unfold" to form a straight line when placed side by side.

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