Angles

The vertex of ∠4 is __.

Check the sides of ∠ BDC.

• $\overline{DB}$
  

• $\overline{BA}$

• $\overline{BC}$

• 
  

  $\overline{DC}$

What other ways can you name ∠ DBC?

• ∠4

• ∠3

• ∠DBA

• ∠CBD

Ray QP and ray QR are opposite rays. Ray QS bisects angle PQT. If m ∠PQT = 60 and m∠PQS = 4x + 14 find the value of x.

• 2.5

• 4

• 6

• 11.5

Ray QP and ray QR are opposite rays. Ray QS bisects angle PQT. If m∠PQS = 3x + 13 and m∠SQT = 6x - 2, find the value of x.

• 3

• 5

• 6

• 10

In the figure ray BA and ray BC are opposite rays. Ray BF bisects angle CBE. If m∠EBF = 6x + 4 and m∠CBF = 7x - 2, find the value of x and m∠EBF.

• x = 6

• x = 2

• m∠EBF = 40

• m∠EBF = 16

In the figure ray BA and ray BC are opposite rays. Ray BF bisects angle CBE. Let m∠1 = m∠2. If m∠ABE = 100 and m∠ABD = 2(r + 5), find r and m∠DBE

• m∠DBE = 100

• m∠DBE = 50

• r = 20

• r = 45