Question

Find the measures of a complement and a supplement of $\angle K$.

$m\angle K=2y$

Short answer

The measures of a complement and a supplement of $\angle K$are $90-2y$and $180-2y$respectively.

Step-by-step solution

Step 1. Formula to find the complement and supplement of the angle K.

The complement of the angle K is given by:

$m\left\{comp.\angle K\right\}=90-K$

The supplement of the angle K is given by:

$m\left\{\mathrm{supp}.\angle K\right\}=180-K$

Step 2. Find the complement of the angle K by substituting 2y for K into the formula.

$m\left\{comp.\angle K\right\}=90-2y$

Therefore, the complement of the angle K is $90-2y$.

Step 3. Find the supplement of the angle K by substituting 2y for K into the formula.

$m\left\{\mathrm{supp}.\angle K\right\}=180-2y$

Therefore, the supplement of the angle K is $180-2y$.