Question

If Y and Z are the bisectors of base angles Y and Z of angle triangle xyz and if angle x is equal to 62 degree find the measure of angle YOZ.


Plz answer properly.....

Answer 1

Answer:

∠yoz = 121°

Step-by-step explanation:

in Δ xyz

∠y + ∠z + ∠x = 180°

=> ∠y + ∠z + 62° = 180°

=> ∠y + ∠z  = 118°

Bisector of ∠y & ∠z meets at O

∠zyo = ∠y/2

∠yzo = ∠z/2

in Δ yoz

∠zyo + ∠yzo + ∠yoz = 180°

=> ∠y/2 + ∠z/2  + ∠yoz = 180°

=> (∠y + ∠z )/2 + ∠yoz = 180°

=> 118°/2 + ∠yoz = 180°

=> 59° + ∠yoz = 180°

=> ∠yoz = 121°