A side of the triangle below has been
extended to for an exterior angle of
161°. Find the value of x.
(One of the interior angles is 46 and the other is x)
An exterior angle of a triangle is equal to the sum of the two non-adjacent interior angles.
Let the interior angle with measure x be the angle opposite to the extended side. The other interior angle has a measure of 46 degrees.
According to the given information, the exterior angle measures 161 degrees.
Therefore, we can set up the equation:
x + 46 = 161
Subtract 46 from both sides:
x = 161 - 46
Simplifying, we find:
x = 115
So, the value of x is 115 degrees.