https://file.aiquickdraw.com/mathbot/file/1721155774624gdgt44wy.png

To find the size of angle \( h \) in the diagram, we need to use the properties of angles formed by intersecting lines and the sum of angles on a straight line.

### Solution

The sum of the angles around the point where the lines intersect should be \( 360^\circ \).

1. The pink angle given is \( 84^\circ \).
2. The pink angle given is \( 71^\circ \).
3. The orange angle given is \( 109^\circ \).

Since the angles on a straight line add up to \( 180^\circ \), let's first find the straight line angles.

The sum of the angles on the straight line is:

\[
84^\circ + h = 180^\circ
\]

Solve for \( h \):

\[
h = 180^\circ - 84^\circ = 96^\circ
\]

Therefore, the size of angle \( h \) is \( 96^\circ \).

Would you like any additional details or have any questions?

Here are 5 more questions you can ask:
1. How do you find the value of exterior angles in polygons?
2. What is the sum of interior angles in a quadrilateral?
3. How do you solve for angles in parallel lines with a transversal?
4. What are corresponding angles, and how do they relate to parallel lines?
5. How can you find the missing angle in a triangle when given two angles?

**Tip:** Always remember that the sum of angles on a straight line is \( 180^\circ \), which can help you find missing angles efficiently.

Learn how to calculate the angle h in the diagram using properties of angles formed by intersecting lines and the angle sum property of a straight line. Detailed step-by-step solution provided.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation