how do i do this?
given: m//n g//h
Prove: angle 4 congruent to angle 16
I've posted on your other question asking for clarification. Making two questions is not necessary.
obviously it is because nobody would help b4
To prove that angle 4 is congruent to angle 16, we need to use the given information and the properties of parallel lines and transversals. Here's how you can approach this proof:
Step 1: Write down the given information: m//n (line m is parallel to line n) and g//h (line g is parallel to line h).
Step 2: Identify the transversal. In this case, the transversal is the line that intersects the parallel lines. Let's call it line t.
Step 3: Look for alternate interior angles. Alternate interior angles are formed on opposite sides of the transversal and between the parallel lines. In this case, angle 4 and angle 16 are alternate interior angles.
Step 4: Use the property that alternate interior angles are congruent when the lines intersected by the transversal are parallel. Since m//n and g//h are given parallel lines, angle 4 is congruent to angle 16.
Step 5: Write the proof statement. You can write the proof statement as: "By the alternate interior angles theorem, since m//n and g//h, angle 4 is congruent to angle 16."
Remember to always provide reasoning or properties used in your proofs and make sure to use proper notation and labeling of the angles and lines involved.