https://file.aiquickdraw.com/mathbot/file/1727378669706ksh33wn8.jpg

Let's analyze and solve the four questions from the uploaded image:

### 1. What is the measure of angle 1?
- **Given**: There is a straight line, and angles are provided as 145° and 40°.
- **Solution**: The sum of angles on a straight line is 180°. Let angle 1 be represented by \( x \). Then:
  \[
  145^\circ + 40^\circ + x = 180^\circ
  \]
  Solving for \( x \):
  \[
  185^\circ + x = 180^\circ \implies x = 180^\circ - 185^\circ = 75^\circ
  \]
- **Answer**: **75 degrees (Option C)**.

### 2. \( X = 52^\circ \), \( Z = 98^\circ \). What is the measure of \( Y \)?
- **Given**: \( X = 52^\circ \), \( Z = 98^\circ \).
- **Solution**: This is a straight line with supplementary angles. The sum of \( X \), \( Y \), and \( Z \) should be 180°.
  \[
  52^\circ + Y + 98^\circ = 180^\circ
  \]
  Solving for \( Y \):
  \[
  150^\circ + Y = 180^\circ \implies Y = 180^\circ - 150^\circ = 30^\circ
  \]
- **Answer**: **30 degrees (Not listed directly, but this might be the closest option)**.

### 3. What is the measure of \( \angle 1 \)?
- **Given**: There are correspondingdegrees.

What are the measures of the various angles in the four geometry problems?

This problem set includes solving four angle measurement questions involving angles on straight lines and intersecting lines. It explores key concepts such as supplementary angles and straight-line angle properties. Suitable for students in Grades 6-8.

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