The measures of angles are m∠1 = m∠3 = 70 degrees, m∠2 = 110 degrees, m∠4 = 110 degrees, m∠5 = 220 degrees, m∠6 = 120 degrees, m∠7 = 240 degrees
Given the information about angle measures, let's analyze and determine the values:
1. **m∠1 = m∠3:** This implies that both angles have the same measure.
2. **m∠4 = 110:** Angle 4 measures 110 degrees.
3. **m∠5 = 2(m∠4):** Angle 5 is twice the measure of angle 4, so m∠5 = 2 * 110 = 220 degrees.
4. **m∠2 = 110:** Angle 2 measures 110 degrees.
5. **m∠6 = 120:** Angle 6 measures 120 degrees.
6. **m∠1 = 70:** Angle 1 measures 70 degrees.
7. **m∠7 = 2(m∠6):** Angle 7 is twice the measure of angle 6, so m∠7 = 2 * 120 = 240 degrees.
In summary:
- m∠1 = m∠3 = 70 degrees
- m∠2 = 110 degrees
- m∠4 = 110 degrees
- m∠5 = 220 degrees
- m∠6 = 120 degrees
- m∠7 = 240 degrees
These angle measures satisfy the given conditions and form a consistent set based on the provided information.
The probable question may be:
If m∠1 = m∠3,m∠4=110, m∠5 = 2(m∠4), m∠2 = 110, and m∠6 = 120, m∠1=70, m∠7 = 2(m∠6) Find all measures.