https://file.aiquickdraw.com/mathbot/file/17271932162335wqhsyvy.jpg

To find the unknown angles \(a\) in the given figure, we can apply the fact that the sum of angles around a point is always \(360^\circ\).

### Step-by-step solution:
1. The diagram shows that there are two \(95^\circ\) angles, and two unknown angles \(a\).
2. The sum of all angles around the center point must equal \(360^\circ\).
   
   \[
   95^\circ + 95^\circ + a + a = 360^\circ
   \]

3. Combine like terms:

   \[
   190^\circ + 2a = 360^\circ
   \]

4. Subtract \(190^\circ\) from both sides:

   \[
   2a = 170^\circ
   \]

5. Divide by 2 to solve for \(a\):

   \[
   a = \frac{170^\circ}{2} = 85^\circ
   \]

So, the measure of \( \angle a \) is **85°**.

Let me know if you need further explanation! 

### Related Questions:
1. What is the sum of angles around any point?
2. How do you determine the measure of unknown angles if one angle is missing?
3. Can two angles around a point be supplementary? Why or why not?
4. How does the concept of vertical angles help in determining unknown angles?
5. What other geometric principles can be applied to solve problems involving angles around a point?

### Tip:
Always check if angles are around a point or on a straight line, as both have different angle sum properties!

The figure is not drawn to scale. Find the unknown angles. Given that there are two 95° angles around a point and two unknown angles 'a', find the measure of angle 'a'.

Find the unknown angles in a geometric figure where two 95° angles are given. Using the angle sum property, this problem explains how to solve for the unknown angle 'a' in a step-by-step manner. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation