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| PAGE: 37 | SET: Exercises | PROBLEM: 32 |
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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