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Mundi · Answer 1 · 2024-03-13T05:22:13+0000

Therefore, the value of the exterior angle of the triangle is
$84\textdegree$ .

The exterior angle theorem states that the measure of the exterior angle of a triangle is equal to the sum of two remote interior angles. Here the exterior angle is
$(3x+6)\textdegree$ and the two remote interior angles are
$24\textdegree$ and
$(2x+18)\textdegree$ . Hence,

2x+18+24=3x+16

3x-2x=18+24-16

x=26

Substituting the value of x in (3x+16), we get:

3(26)+6=78+6

=
$84\textdegree$

Therefore, the value of the exterior angle of the triangle is
$84\textdegree$ .

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