Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • In Fig. 6.40, ∠ X = 62°, ∠ XYZ = 54°. If YO and ZO are the bisectors of ∠ XYZ and ∠ XZY respectively of ∆ XYZ, find ∠ OZY and ∠ YOZ.

2. In Fig. 6.40, \angle X = 62°, \angle XYZ = 54°. If YO and ZO are the bisectors of \angle XYZ and \angle XZY respectively of \Delta XYZ, find \angle OZY and \angle YOZ.

                

Answers (1)

best_answer


We have 
\angleX = 62^0, \angleXYZ = 54^0
YO and ZO bisects the \angleXYZ and \angleXZY
Now, In \DeltaXYZ, by using angle sum property
\angleXYZ + \angleYZX + \angleZXY = 180^0

So, \angleYZX = 180^0-54^0-62^0
      \angleYZX = 64^0

and, \angleOYZ = 54^0/2 = 27^0 also, \angleOZY = 32^0

Now, in \DeltaOYZ 
\angleY + \angleO + \angleZ = 180^0  [\angleY = 32^0 and \angleZ = 64^0]
So, \angleYOZ = 121^0

Posted by

manish painkra

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 10 board exams from February 15 to March 18; download date sheet 2025 PDF
anam-khan

CBSE Date Sheet 2025 Live: CBSE Class 10, 12 board exam timetable soon at cbse.gov.in; practical dates
anam-khan

CBSE Date Sheet 2025 Live: CBSE to announce Class 10, 12 board exam dates soon at cbse.gov.in; sample paper

Latest Question