110k views
1 vote
How do you find x? really confused

How do you find x? really confused-example-1
User Nello
by
8.2k points

1 Answer

1 vote

Answer:


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°

How do you find x? really confused-example-1
User Jooks
by
8.3k points

No related questions found