Question

please answer ......​

Answer 1

Answer:

OZY=32   YOZ=121

Step-by-step explanation:

given

angle x=62

angle y=54

angle sum property of triangle = sum of all angle =180

62+54+z=180

z=64

according to figure the line bisects z and y making to equal halfs

therfore  OZY=64/2

  OZY=32

OYZ=54/2

OYZ=27

according to angle sum property

32+27+YOZ=180

YOZ=121

Answer 2

Answer:

ANGLE OZY = 32°; ANGLE YOZ = 121°

Step-by-step explanation:

! In triangle XYZ, ANGLE XYZ = 54 ° , ANGLE YXZ = 62°, ANGLE YZX =  a°

! since SUM OF ALL ANGLES = 180

thus, ANGLE XYZ + YZX +YXZ = 180

! 62° + 54° + a° = 180°

!  116° + a° = 180°

! THUS a° = 180-116 = 64°

! ANGLE OZY = ANGLE OZX (GIVEN)

! ANGLE OZY + OZX = 64°

!THUS, 1/2 * ANGLE a° = ANGLE OZY = 1/2*64° = 32° ----------- i

! IN TRIANGLE OYZ , ANGLE OYZ= 1/2*54°= 27°  (GIVEN)

ANGLE OZY = 32° (PROVED IN i)

ANGLE YOZ = b°

! SINCE SUM OF ALL ANGLES = 180°

! THUS , b° + 32°  + 27° = 180°

! b° + 59° = 180°

b° = 180-59

b° = 121°

! thus , angle YOZ = 121°

hope YOU UNDERSTOOD