Question

Find the lettered angles, a-f, in the picture shown below. note that the two lines are parallel.

Answer 1

Answer:
`a=68^(\circ), b=68^(\circ), c=25^(\circ), d=155^(\circ), e=43.5^(\circ), f=111.5^(\circ)`

Explanation:

`a = 68^(\circ)` using linear pairs.

`b=68^(\circ)` using alternate interior angles.

Considering the straight angle, we know that
`2e=180^(\circ)-68^(\circ)-25^(\circ)=87^(\circ)`, and thus
`e=43.5^(\circ)`.

Using the sum of angles in a triangle,
`c=25^(\circ)` and
`f=111.5^(\circ)`.

Using linear pairs again,
`d=155^(\circ)`