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`°.