Question

If ZR and ZT are supplementary angles, mZR = (6X - 4)', and mZT= (2x + 16), find mZT?

Answer 1

First we will draw the angles for better understanding

To find JML we will use the supplementary angles

`\begin{gathered} \text{JML}=KJ-\text{LMK} \\ \text{JML}=180º-154º \\ \text{JML}=26º \end{gathered}`

To find NMK we will use the supplementary angles again becase LN=180º

`\begin{gathered} LN=180º \\ \text{NMK}=LN-\text{LMK} \\ \text{NMK}=180º-154º \\ \text{NMK}=26º \end{gathered}`

finally we use the complementary angles to find PMN

`\begin{gathered} \text{PMN}=90º-\text{NMK} \\ \text{PMN}=64º \end{gathered}`