The alternate exterior angles of two parallel lines cut by a transversal are 151 degrees and #2x + 1#. What is the value of #x#?

1 Answer
Oct 25, 2017

#x = 75^0#

Explanation:

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Refer diagram above.
1 & 2 are alternate exterior angles. Likewise, a & bare also alternate exterior angles.

Given #/_a = 2x + 1 and /_b = 151#

We know, #/_a = /_b#

#:. 2x + 1 = 151#

#x = (151-1)/2 = 75^0#