Mathematics

Problem

Two lines

e

and

f

are intersected by a transversal

k

. At the intersection with

e

, the angle on the east of

k

and above

e

(3x - 5)^{\circ}

. At the intersection with

f

, the angle occupying the corresponding position is

(2x + 40)^{\circ}

. a. (a) Show that

e

is parallel to

f

. b. (b) Determine the value of

x

. c. (c) Using the value of

x

, calculate all eight angles formed by the transversal. d. (d) State any two distinct pairs of angles from your answer in part (c) that are supplementary.

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