The given angles are .
Since . So, are congruent angle.
( are congruent angle)
(Definition of congruent angles) (Substitute ) (Subtract 5x from each side)
(Apply commutative property of addition: )
(Apply additive inverse property: )
(Apply additive identity property: )
(Subtract: ) (Add 23 to each side)
(Apply additive inverse property: )
(Apply additive identity property: )
(Add: )
(Divide each side by 3)
(Cancel common terms)
(Divide: )
Substitute value of x in to measure the angle.
(Given)
(Substitute x = 11)
(Multiply: )
(Simplify)
The measure of is 65.
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