Overlapping angles
Given: m angle HGK= m angle JGL
Prove: m angle 1= m angle 3
Statements: Reasons:
1.) m angle HGK= m angle JGL 1.) Given
2.) 2.)
3.) 3.)
4.) 4.)
Can you please help me complete the proof?
Thanks for your help!
To prove that m angle 1 is equal to m angle 3, we need to use the given information that m angle HGK is equal to m angle JGL.
Here is how you can complete the proof:
Statements: Reasons:
1.) m angle HGK = m angle JGL 1.) Given
2.) m angle HGK + m angle 1 = 180° 2.) Angles on a straight line add up to 180°
3.) m angle JGL + m angle 3 = 180° 3.) Angles on a straight line add up to 180°
4.) m angle HGK + m angle 1 = m angle JGL + m angle 3 4.) Substitution using statement 1
5.) m angle 1 = m angle 3 5.) Subtracting m angle HGK from both sides (using statement 4)
By substituting the given information and applying the fact that angles on a straight line add up to 180°, we can conclude that m angle 1 is equal to m angle 3.
Hope this helps! Let me know if you have any further questions.