Question

please give answers of these questions

Answer 1

hlo
1. in ΔXYZ

X + Y + Z = 180
72 +Y + 46 = 180
118 + Y = 180
Y = 62°

as , YO and OZ are angle bisector..
then ,
angle OYZ = 1/2 × Y

angle OYZ = 31° ✔✔

similqrly angle OZY = 23°

in ΔOYZ
angle OYZ + angle OZY + angleYOZ = 180
31 + 23 + YOZ = 180
54 + YOZ = 180
YOZ = 180 - 54
YOZ = 126°✔✔

2. as , AB paralle CD
angle ABR = angleBCD = 45°

in ΔOCD
angleOCD + angleODC + angle COD = 180°

45 + 105 + angleODC = 180

150 + angleODC = 180

angle ODC = 180 - 150 = 30°✔✔


hope it helps..