The exterior angles of a triangle are 3yº, 4y
and 5y
(i) Find the value of y.
(ii) Find the smallest interior angle of the triangle.
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Answer:
y = 30
The sum of the internal angles of a triangle is 180 degrees.
Internal angles are 180 - 3y
180 - 4y
180 - 5y
180 - 3y + 180 - 4y + 180 - 5y = 180
-3y - 4y - 5y = 180 - 180 - 180 - 180
-12y = -360
12y = 360
y = 30
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