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The image you've uploaded contains various geometry problems related to kites, where you need to find missing angles and side lengths. Let's break down the problems:

### Problem 1: 
You are given a kite with angles \( \angle E = 87^\circ \) and \( \angle H = 31^\circ \). You need to find the missing angles \( \angle F \) and \( \angle H \).

- In a kite, the opposite angles are equal. Hence, \( \angle F = 87^\circ \) and \( \angle H = 31^\circ \).

### Problem 2: 
This involves another kite where \( \angle T = 91^\circ \), \( \angle W = 65^\circ \), and you need to find the missing angles \( \angle U \) and \( \angle V \).

- Again, since opposite angles are equal in a kite, you can find:
  - \( \angle U = 91^\circ \)
  - \( \angle V = 65^\circ \)

### Problem 3: 
You are given a kite with side lengths, and you need to find missing angles. The given data shows that two adjacent sides are labeled 2 and 3, with an angle of \( 18^\circ \).

- Based on the symmetry of a kite, you would apply angle and side properties to find the remaining angles.

### Problem 5: 
You need to find the length of \( QT \) given that \( QR = 13 \) and \( PT = 8 \). Using Pythagoras' Theorem or properties of kites, you can solve for \( QT \).

### Problem 6: 
Given \( KM = 52 \) and \( NL = 33 \), the task is to find the length of \( LM \). Similar principles would apply, using properties of kites.

Would you like help with the detailed steps for solving each of these problems?

The image contains multiple geometry problems about kites, including missing angle measures and side lengths in quadrilaterals.

Explore solutions to kite geometry problems, including how to find missing angles and side lengths. This page covers key concepts in geometry, such as properties of kites, angle calculations, and using Pythagoras' Theorem. Suitable for students in Grades 7-9.

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