Answer:
c
Step-by-step explanation:
What do you mean by that?
Answer:
x = 3
Step-by-step explanation:
These angles are vertical angles. Vertical angles equals to on another but on the opposite side. Since they equal to another you do:
(10x + 1) = (12x - 5)
Add 5 on both sides:
10x + 6 = 12x
Subtract 10x on both sides:
6 = 2x
Divide 2 on both sides:
3 = x
Because LP and NP are the same measure, that means that MP is a bisector. It bisects side LN and it also bisects angle LMN. Where MP meets LN creates right angles. What we have then thus far is that angle LMP is congruent to angle NMP and that angle LPM is congruent to angle NPM and of course MP is congruent to itself by the reflexive property. Therefore, triangle LPM is congruent to triangle NMP and side LM is congruent to side NM by CPCTC. Side LM measures 11.
<h3>
Answer: 95 degrees</h3>
=======================================================
Explanation:
I recommend drawing it out to see what's going on. See the drawing below.
In the diagram, both angles are in the northeast corner of their four-corner configurations. They are both congruent corresponding angles. So that's why the second angle is also 95 degrees.
Side note: we could replace "northeast" with any of the other directions on the compass (such as southwest). All that matters is that they are in the same configuration.