Answer:
\(m\angle n=132^{\circ}\)
Step-by-step explanation:
We have been given an image of a right triangle and we are asked to find the measure of n.
We can see from given triangle that angle n is exterior angle of triangle ABC.
The exterior angle of triangle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
Using above theorem we can set an equation to solve for n as:
\(m\angle n=m\angle A+m\angle B\)
\(m\angle n=42^{\circ}+90^{\circ}\)
\(m\angle n=132^{\circ}\)
Therefore, the value of n is 132 degrees.
