x < −8/21
if you need help with explanations of the equations, "mathpapa" is something to look up. It's a algebra calculator that explains the step by step process
For the angle MPN we know that is oposite to the angle QPL so the will be equal so:
Now with the value of MPN we can made an equation for x so:
and we solve for x
and the angle LPM will be the complementari angle of 125 so:
Okay, for this proof, I'll write the steps out.
Statements:
1. ABCD is a parallelogram
2. FG bisects DB
3. <GEB ≡ (pretend congruent symbol) <FED
4. DE ≡ BE
5. <CDA ≡ <ABC
6. < CDB ≡ <DBA
7. triangle DFE ≡ triangle BGE
8. FE ≡ GE
9. DB bisects FG
Reasons:
1. Given
2. Given
3. vertical angles are congruent
4. If bisected, then split into congruent parts
5. opposite angles of a parallelogram are congruent
6. Subtraction Property
7. ASA
8. CPCTC
9. segment split into congruent parts by other segment is bisected.
Hope this helped! :)
