Question

figure 6.40 angle X = 60° ,angle XYZ = 54° , if Y and Z are the bisectors of angle XYZ and angle XZY respectively of ∆XYZ find angle OZY and angle YOZ​

Answer 1

Answer:

when angle x and y are given we can determine angle z

x+y+z=180

62+54+z=180

z=180-116

z=64

now we know that line OY is bisector of y

so angle oyz=54/2 = 27

line OZ is bisector of z

so angle ozy=62/2 = 31

as we know oyz and ozy we can find O

oyz+ozy+o=180

27+31+O=180

o=180-58

O=122