Q:

how do you find x? really confused

Accepted Solution

A:
Answer:[tex]x= 28\°[/tex]Step-by-step explanation:We have labelled the given diagram and redrawn again in the attachment.Also from the labelled diagram given below the given details are; ∠CPQ =[tex](5y-4)\°[/tex]∠RQF =[tex]3y\°[/tex]∠BRH =[tex](2x+13)\°[/tex]∠CPQ = ∠PQF  (Alternate Interior Angle)∠PQF + ∠RQF =180° (Straight angle property)Now Substituting the values we get;[tex]5y-4+3y=180\\8y=180+4\\8y=184\\y=\frac{184}{8}=23\°[/tex]∠RQF =[tex]3y\° = 3\times23 = 69\°[/tex]∠RQF = ∠BRH (corresponding angles)[tex]69=2x+13\\2x = 69 -13\\2x=56\\x = \frac{56}{2} = 23\°[/tex]Hence x = 23°