Two angles are called supplementary angles if the sum of two angles is 180 degrees and they form a linear pair.
Here we are given than angle P and angle Q are supplementary angles.
Sum of angle P and angle Q will be 180.
Angle P measures 5x and angle Q measures 3x – 12
Adding the two angles,




x=24
Angle P = 5x
Angle P =5*24 =120
Answer: Angle P is 120 degrees.
Answer:
The y-intercept is (0, 1/2)
The x-intercept is (0, -8)
You started off very well. You identified the given and the pair of congruent sides.
Statement Reason
3. m<POM = m<NMO Alternate Interior Angles
4. m<NOM = m<PMO Alternate Interior Angles
5. ΔPMO ≅ ΔNOM ASA
6. MP ≅ NO CPCTC
Reasoning for statement 3: This is because MN ║PO and MO acts as a transversal.
Reasoning for statement 4: This is because MP ║NO and MO acts as a transversal.
Answer: $43.20
Step-by-step explanation: