Answer:






Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms


step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x

step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have

substitute


step 4
Find the measure of angle c
we know that
----> by vertical angles
we have

therefore

step 5
Find the measure of angle d
we know that
----> by corresponding angles
we have

therefore

step 6
Find the measure of angle e
we know that
----> by alternate exterior angles
we have

therefore

step 7
Find the measure of angle f
we know that
----> by vertical angles
we have

therefore

Answer:
M<2= 65
Step-by-step explanation:
The reason it is 65 because 2 angles add up to either 90 or 180 and in this case it would be 180.
You would use angle addition postulate to find the answer so M<1 + M<2 = 180.
Since M<1 is 115 you would substitute it into the formula so 115 + M<2 = 180
Then you would subtract 115 from 180 in which you would get M<2 = 65
Answer:
its number 6
Step-by-step explanation:
Answer:
a 1
b 6
c 15
Step-by-step explanation:
101% 101/100 = 1 1/100
is 1 complete 100 grid and 1/100 of another grid so you will need 2 grids
589% 589/100 = 5 89/100
is 5 complete 100 grids and 89/100 of another grid so you will need 6 grids
1450% 1450/100 = 14 50/100
is 14 complete grids and 50/100 of another grid so you will need 15 grids
It is true. The triangles are congruent.