Question

Hill in the blank: Type your answer in the box and then clichWhat is the value of n?144eAnswer:

Answer 1

The correct answer is $95$°.

To solve for $n$, you can start by finding the measures of the triangle's interior angles. Knowing that a straight line measures $180$°, you can subtract the given values from $180$° to find the measures of the respective supplementary interior angles. That would give you $59$° $(180-121)$ and $36$° $(180-144)$.

Now, knowing that the measure of all the interior angles of a triangle is also $180$°, you can add the two interior angles you know $(59+36)$ and subtract those from $180$°. Doing so would give you the measure of the missing third angle, which is $85$°.

Finally, because angle $n$ is the supplementary angle of the missing angle from the previous step, simply subtract that angle's measure from $180$° to find $n$°, which is $180-85$ or $95$°.