Question

Giving 50 points for help on this equation please

In the figure below, a line intersects two parallel lines. Find the missing angle measurements and then use the word bank to name the angle relationships

Answer 1

Explanation:

to find a:

a is a supplementary angle meaning that it and the 50 add to 180.

therefore

a = 180 - 50

a = 130

to find b:

b and 50 are vertically opposite angles meaning that they are the same

b = 50

to find c:

c and 50 are supplementary angles meaning they add to 180

c = 180 - 50

c = 130

** a and c are also vertically opposite meaning they equal the same

to find e:

b and e are interior angles meaning they add to 180

e = 180 - b

e = 180 - 50

e = 130

to find f:

e and f are supplementary angles meaning they add up to 180

f = 180 - 130

f = 50

to find h:

h and f are vertically opposite angles meaning they are the same

h = 50