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Find the unknown angles in the following triangle 

To find the unknown angles in the given triangles, I'll analyze each triangle step-by-step. Here are the detailed explanations for each triangle:

### Triangle (a)
- **Given:** One angle is \(76^\circ\).
- **Solution:** Since the sum of the angles in a triangle is always \(180^\circ\), the unknown angle \(x\) can be found as:
  \[
  x = 180^\circ - 76^\circ - 90^\circ = 14^\circ.
  \]

### Triangle (b)
- **Given:** Right triangle with angles \(30^\circ\) and \(x\).
- **Solution:** Using the triangle angle sum property:
  \[
  x = 180^\circ - 90^\circ - 30^\circ = 60^\circ.
  \]

### Triangle (c)
- **Given:** Right triangle with sides labeled, angles of \(90^\circ\), \(52^\circ\), and \(x\).
- **Solution:** We know:
  \[
  x = 180^\circ - 52^\circ - 90^\circ = 38^\circ.
  \]

### Triangle (d)
- **Given:** One angle is \(x\), a triangle marked as right-angled.
- **Solution:** We use \(180^\circ - 72^\circ - 90^\circ = 18^\circ.\)

### Triangle (e)
- **Given:** An obtuse triangle with \(108^\circ\) and side lengths labeled.
- **Solution:** To find \(x\):
  \[
  x = 180^\circ - 108^\circ - remaining side 72.
  \]


 Do confirm such results accuracy expectations further working if needing verify cross-check back deeper aspects approaches.

Learn how to find unknown angles in triangles with detailed step-by-step solutions. Includes properties like the angle sum property and specific calculations for different triangle types. Suitable for students in Grades 7-9.

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