https://file.aiquickdraw.com/mathbot/file/17265992188028z1hpzil.jpg

In this image, you have a problem asking to find the measure of the missing angles in a diagram.

The given angles are:
- \(46^\circ\)
- \(103^\circ\)

Let's analyze the situation step by step.

1. **Opposite Angles**: Opposite (vertical) angles are always equal. So, the angle opposite to \(46^\circ\) will also be \(46^\circ\). Similarly, the angle opposite to \(103^\circ\) will also be \(103^\circ\).

2. **Linear Pair**: The angles that are adjacent on a straight line sum up to \(180^\circ\). 

- Angle \(e\) and \(46^\circ\) are a linear pair, so:
  \[
  e + 46^\circ = 180^\circ
  \]
  Solving for \(e\):
  \[
  e = 180^\circ - 46^\circ = 134^\circ
  \]

- Angle \(d\) and \(103^\circ\) are also a linear pair, so:
  \[
  d + 103^\circ = 180^\circ
  \]
  Solving for \(d\):
  \[
  d = 180^\circ - 103^\circ = 77^\circ
  \]

Thus, the missing angles are:
- \(d = 77^\circ\)
- \(e = 134^\circ\)
- \(f = 46^\circ\) (since it is vertically opposite to the given \(46^\circ\)).

Would you like more details on how these properties work?

---

**Related questions**:
1. What are vertically opposite angles, and how do they work?
2. How can you identify a linear pair of angles?
3. Can adjacent angles always add up to \(180^\circ\)?
4. What is the difference between complementary and supplementary angles?
5. How do angle pairs behave in parallel lines cut by a transversal?

**Tip**: Remember, opposite angles formed by two intersecting lines are always equal!

Find the measure of the missing angles. Given angles: 46° and 103°.

Solve the geometry problem involving opposite angles and linear pairs. Learn how to find missing angles when given 46° and 103°. Suitable for students in Grades 6-8, covering the Opposite Angles Theorem and the Linear Pair Angles Theorem.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation