The given angles are .
Since . So,
are congruent angle.
(
are congruent angle)
(Definition of congruent angles)
(Substitute
)
(Subtract 6x from each side)
(Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Add 2 to each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
Substitute value of x in to measure the angle.
(Given)
(Substitute x = 7)
(Multiply:
)
(Add:
)
The measure of is 47.