Worksheet for finding the angle sum of a triangle with example problems and space for solutions.

You're working on a “Finding the Angle Sum of a Triangle” worksheet. The key concept here is:

> The sum of the interior angles in any triangle is always 180°.

So, to find a missing angle in a triangle when you know the other two, you subtract the sum of the known angles from 180°.

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Let’s solve each problem step by step.

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Problem 1a (Already Solved for You)

Given: Two angles = 75° and 75°
Missing angle x = 180° – 75° – 75° = 30°

✔ Correct!

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Problem 1b

Angles given: 60° and 70°
Missing angle = 180° – 60° – 70° = 50°

✔ So, x = 50°

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Problem 1c

Angles given: 90° and 44°
Missing angle = 180° – 90° – 44° = 46°

✔ So, x = 46°

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Problem 1d

Angles given: 41° and 76°
Missing angle = 180° – 41° – 76° = 63°

✔ So, x = 63°

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Problem 1e

Angles given: 30° and 25°
Missing angle = 180° – 30° – 25° = 125°

✔ So, x = 125°

*(Note: This is an obtuse triangle — one angle > 90° — which is perfectly valid!)*

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Problem 1f

Angles given: 95° and 40°
Missing angle = 180° – 95° – 40° = 45°

✔ So, x = 45°

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## ✔ Final Answers:

| Problem | Missing Angle |
|---------|----------------|
| a | 30° |
| b | 50° |
| c | 46° |
| d | 63° |
| e | 125° |
| f | 45° |

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## 💡 Tip for Students:
Always remember:
> Angle 1 + Angle 2 + Angle 3 = 180°

So if you’re missing one angle, just do:
> Missing angle = 180° – (sum of the other two)

This works for all triangles — equilateral, isosceles, scalene, right, acute, or obtuse!

Let me know if you want help with Problem 2 as well — it looks like it involves straight lines (180°) and triangles together. Just say the word! 😊