Question

PLZZZZ HELP ME OUT GIVING OUT 100 POINTS PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

The diagram shows two parallel lines cut by a transversal. One angle measure is shown.

Two lines that do not intersect. A third line intersects with both lines.

Find the values of a, b, c, d, e, f, and g. Do not include any labels or degree symbols.

a=
b=
c=
d=
e=
f=
g=

Answer 1

See below

Explanation:

a + 54° = 180° [Angles on a straight line]

a = 180 - 54

a = 126°

a + b = 180 [Angles on a straight line add up to 180 degrees]

126 + b = 180

b = 180 - 126

b = 54°

c° = a° [Vertically opposite angles are equal]

c° = 126°

d = 54° [Corresponding angles are equal]

e = a [Corresponding angles are equal]

e = 126°

f = b [Corresponding angles are equal]

f = 54°

g = c [Corresponding angles]

g = 126°

`\rule[225]{225}{2}`

Hope this helped!

~AH1807