Overlapping angles
Given: m angle HGK= m angle JGL
Prove: m<1= m<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!
Blahhh
To prove that m<1 = m<3, we can use the fact that the angles HGK and JGL are equal.
Here is one possible completion of the proof:
Statements: Reasons:
1.) m angle HGK= m angle JGL 1.) Given
2.) Angle subtraction postulate 2.) Angles can be subtracted from both sides of an equation.
3.) m<1 - m angle HGK = m<3 - m angle JGL 3.) Subtract m angle HGK from both sides of equation in statement 1.
4.) m<1 = m<3 4.) Simplify equation in statement 3 by applying the subtraction property of equality.
Therefore, we have proved that m<1 = m<3 using the fact that m angle HGK = m angle JGL and the angle subtraction postulate.
Sure! Let's complete the proof step by step:
Statements: Reasons:
1.) m angle HGK = m angle JGL 1.) Given
2.) m angle HGK + m angle 1 + m angle 2 = 180° 2.) Angle sum property of a triangle
3.) m angle JGL + m angle 2 + m angle 3 = 180° 3.) Angle sum property of a triangle
4.) m angle HGK + m angle 1 = m angle JGL + m angle 3 4.) Substitution (from statements 2 and 3)
5.) m angle 1 = m angle 3 5.) Subtraction property of equality
6.) m angle 1 = m angle 3 6.) Transitive property of equality
To complete the proof, we need to show that m <1 = m <3.
From step 5, we know that m angle 1 = m angle 3.
And from step 6, we know that m angle 1 = m angle 3.
Therefore, m angle 1 = m angle 3.
Thus, we have proven that m <1 = m <3.
I hope this helps! Let me know if you have any more questions.