Question

Same-side interior angles always addup to 180°. If 44 and 46 are same-sideinterior angles, what is the measure of «6?{44=123°66 = [?]"O46sK

Answer 1

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

From the question, we can see that:

$\begin{gathered} \angle\text{ 4 +}\angle6=180^0 \\ \text{But }\angle4=123^0 \\ \text{Then,} \\ 123^0+\text{ }\angle6=180^0 \end{gathered}$

$\begin{gathered} \angle6=180^0-123^0 \\ \angle6\text{ = }57^0 \end{gathered}$

CONCLUSION:

$\angle6=57^0$