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 bisect the \angleXYZ and \angleXZY
Now, In \DeltaXYZ, by using the 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 Hindi Exam Analysis 2025: Paper ‘well-organised, moderately difficult'; MCQ section easy
anam-khan

No change in CBSE Class 10 subjects for 2026, board will offer 45 languages: Chairman clarifies
anam-khan

Minister objects to Punjabi's absence from list in CBSE draft; board says language list 'indicative'

Latest Question