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Triangle Angle Sum Practice: Find the missing angle in each triangle.

Triangle Angle Sum Practice worksheet with nine triangles, each showing two angles and one unknown angle marked with a question mark, designed to find the missing angle using the triangle angle sum property.

Triangle Angle Sum Practice worksheet with nine triangles, each showing two angles and one unknown angle marked with a question mark, designed to find the missing angle using the triangle angle sum property.

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Show Answer Key & Explanations Step-by-step solution for: Triangle Angle Sum Practice worksheet
To solve the problems in the "Triangle Angle Sum Practice" worksheet, we use the fact that the sum of the interior angles of a triangle is always 180°. Let's go through each problem step by step.

---

Row 1:


#### Problem 1:
- Given angles: \(43^\circ\) and \(90^\circ\) (right angle).
- To find: The missing angle.
- Calculation:
\[
\text{Sum of angles in a triangle} = 180^\circ
\]
\[
? + 43^\circ + 90^\circ = 180^\circ
\]
\[
? = 180^\circ - 43^\circ - 90^\circ = 47^\circ
\]
- Answer: \(47^\circ\)

#### Problem 2:
- Given angles: \(88^\circ\) and \(30^\circ\).
- To find: The missing angle.
- Calculation:
\[
? + 88^\circ + 30^\circ = 180^\circ
\]
\[
? = 180^\circ - 88^\circ - 30^\circ = 62^\circ
\]
- Answer: \(62^\circ\)

#### Problem 3:
- Given angles: \(40^\circ\) and \(98^\circ\).
- To find: The missing angle.
- Calculation:
\[
? + 40^\circ + 98^\circ = 180^\circ
\]
\[
? = 180^\circ - 40^\circ - 98^\circ = 42^\circ
\]
- Answer: \(42^\circ\)

---

Row 2:


#### Problem 4:
- Given angles: \(71^\circ\) and \(40^\circ\).
- To find: The missing angle.
- Calculation:
\[
? + 71^\circ + 40^\circ = 180^\circ
\]
\[
? = 180^\circ - 71^\circ - 40^\circ = 69^\circ
\]
- Answer: \(69^\circ\)

#### Problem 5:
- Given angles: \(50^\circ\) and \(90^\circ\) (right angle).
- To find: The missing angle.
- Calculation:
\[
? + 50^\circ + 90^\circ = 180^\circ
\]
\[
? = 180^\circ - 50^\circ - 90^\circ = 40^\circ
\]
- Answer: \(40^\circ\)

#### Problem 6:
- Given angles: \(40^\circ\) and \(45^\circ\).
- To find: The missing angle.
- Calculation:
\[
? + 40^\circ + 45^\circ = 180^\circ
\]
\[
? = 180^\circ - 40^\circ - 45^\circ = 95^\circ
\]
- Answer: \(95^\circ\)

---

Row 3:


#### Problem 7:
- Given angles: \(30^\circ\) and \(90^\circ\) (right angle).
- To find: The missing angle.
- Calculation:
\[
? + 30^\circ + 90^\circ = 180^\circ
\]
\[
? = 180^\circ - 30^\circ - 90^\circ = 60^\circ
\]
- Answer: \(60^\circ\)

#### Problem 8:
- Given angles: \(51^\circ\) and \(52^\circ\).
- To find: The missing angle.
- Calculation:
\[
? + 51^\circ + 52^\circ = 180^\circ
\]
\[
? = 180^\circ - 51^\circ - 52^\circ = 77^\circ
\]
- Answer: \(77^\circ\)

#### Problem 9:
- Given angles: \(80^\circ\) and \(60^\circ\).
- To find: The missing angle.
- Calculation:
\[
? + 80^\circ + 60^\circ = 180^\circ
\]
\[
? = 180^\circ - 80^\circ - 60^\circ = 40^\circ
\]
- Answer: \(40^\circ\)

---

Final Answers:


\[
\boxed{
\begin{array}{ccc}
47^\circ & 62^\circ & 42^\circ \\
69^\circ & 40^\circ & 95^\circ \\
60^\circ & 77^\circ & 40^\circ
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of triangle angle sum worksheet.
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