We appreciate your visit to The diagram shows parallel lines cut transversal what is the measure of 4. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Let us solve for x first
Corresponding angles are equal.
Therefore,
[tex]\begin{gathered} 7x+75=2x+100 \\ 7x-2x=100-75 \\ 5x=25 \\ x=\frac{25}{5}=5 \end{gathered}[/tex]The measure of ∠4 is
[tex]\begin{gathered} \angle4+7x+75=180^0\text{ \lparen Sum of the angles on a straight line is }180^0) \\ \angle4+7(5)+75=180^0 \\ \angle4+35+75=180^0 \\ \angle4+110^0=180^0 \\ \angle4=180^0-110^0=70^0 \\ \therefore\angle4=70^0 \end{gathered}[/tex]Hence,
[tex]\begin{equation*} \angle4=70^0 \end{equation*}[/tex]Thanks for taking the time to read The diagram shows parallel lines cut transversal what is the measure of 4. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
Rewritten by : Barada
