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From the diagram the angles are
.
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In a triangle sum of angles are
.
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\
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(Remove the brackets)
(Add:
)
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(Add 18 to each side)
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(Apply addiitve inverse propetry:
)
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(Apply addiitve identity propetry:
)
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(Subtract:
)
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(Divide each side by 6)
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So,
(Cancel common terms)
(Divide:
)
.
,
,
.
So, the angle measures are
.
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The value of x is
. The angle measures are
.
is an acute angle. So, the triangle is acute triangle.