TRIANGLE ANGLE BISECTOR THEOREM WORKSHEET

Problem 1 :

If BD bisects the angle ∠ABC

m∠ABD = 4x - 10 and m∠CBD = 7x - 31, find ∠CBD.

Solution

Problem 2 :

If BD bisects the angle ∠ABC,

m∠ABD = 3x + 15 and m∠CBD = 4x + 4, find m∠ ABC.

Solution

Problem 3 :

Find m∠TSU

Solution

Problem 4 :

Given that 𝑚∠𝑊𝑌𝑍 = 63, XW = 5.7, and ZW = 5.7, then 𝑚∠𝑋𝑌𝑍 = _____________.

Solution

Problem 5 :

Find 𝑚∠QRS

Solution

Problem 6 :

Find ∠WXZ

Solution

Problem 7 :

(i) Given that FG = HG and m∠FEH = 56, find m∠GEH. 

(ii)  Given that EG bisects ∠FEH and GF = √2, find GH.

Solution

Problem 8 :

EG is angle bisector.

(i) Given that ∠FEG ≅ ∠GEH, FG = HG and FG = 10z – 30, HG = 7z + 6 then find GF.

(ii) Given that GF = GH, m∠GEF = 8a , and m∠GEH = 24, find a

Solution