Question

How do you find x? really confused

Answer 1

`x= 28\°`

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 =
`(5y-4)\°`

∠RQF =
`3y\°`

∠BRH =
`(2x+13)\°`

∠CPQ = ∠PQF (Alternate Interior Angle)

∠PQF + ∠RQF =180° (Straight angle property)

Now Substituting the values we get;

`5y-4+3y=180\\8y=180+4\\8y=184\\y=(184)/(8)=23\°`

∠RQF =
`3y\° = 3*23 = 69\°`

∠RQF = ∠BRH (corresponding angles)

`69=2x+13\\2x = 69 -13\\2x=56\\x = (56)/(2) = 23\°`

Hence x = 23°