https://file.aiquickdraw.com/mathbot/file/1729413841923iy866cmq.jpg

Let's break down the questions based on the image provided:

### **Question 2: Find the measure of arc \( RST \) in circle \( P \)**
We are given a circle \( P \), and the central angles for arcs \( TQ \) and \( ST \) are marked. 

From the image:
- The measure of arc \( TQ \) is given as \( 145^\circ \).
- The measure of arc \( ST \) is given as \( 86^\circ \).

Now, \( RST \) represents the entire arc from \( R \) to \( T \), so we need to find the arc that remains after subtracting the sum of arcs \( TQ \) and \( ST \) from the full circle.

1. A full circle has \( 360^\circ \).
2. Subtracting arcs \( TQ \) and \( ST \) from 360 degrees:
   \[
   360^\circ - (145^\circ + 86^\circ) = 360^\circ - 231^\circ = 129^\circ.
   \]

Thus, the measure of arc \( RST \) is **129°**, which matches option **b**.

---

### **Question 3: Find the measure of arc \( EGF \)**
This problem doesn't have a diagram in the image provided, so let's analyze the options purely based on the problem.

Without further information, it's challenging to determine the exact measure, as we would need a corresponding circle or angles. But based on the provided choices, the correct answer might need additional information like a diagram or context. Would you happen to have that available?

---

Would you like to explore more details on these problems?

Here are 5 related questions to consider:
1. How do we calculate the total angle sum of a circle?
2. What is the difference between a central angle and an inscribed angle?
3. How can we use known arc measures to find unknown arcs in a circle?
4. Why do we subtract certain arc measures when solving for the remainder of a circle?
5. How do different types of angles relate to arc measures?

**Tip:** Always remember that the sum of the central angles in a circle is 360°.

Find the measure of arc RST in circle P and the measure of arc EGF based on the diagram provided.

Learn how to find the measure of arcs in a circle, including arc RST and arc EGF, using central angles and the sum of angles theorem. This problem includes a step-by-step breakdown of calculating arc RST with a given diagram. Suitable for students in Grades 9-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation