Examples

Chapter 6 Class 9 Lines and Angles
Serial order wise

### Transcript

Example 2 In figure , ray OS stands on a line POQ. Ray OR and ray OT are angle bisectors of ∠ POS and ∠ SOQ, respectively. If ∠ POS = x, find ∠ ROT. Given ∠ POS = x OR bisects ∠ POS So, ∠ROP = ∠ROS So, ∠ROP = ∠ROS = 1/2 (∠ POS) ∠ROP = ∠ROS = 𝑥/2 Now, ∠POS + ∠ SOQ = 180° x + ∠ SOQ = 180° ∠SOQ = 180° – x OT bisects ∠ SOQ So, ∠SOT = ∠TOQ So, ∠SOT = ∠TOQ = 1/2 (∠ SOQ) ∠SOT= ∠TOQ = 1/2 (180° – x) ∠SOT= ∠TOQ = 90° – 𝑥/2 Now, finding ∠ ROT ∠ ROT = ∠ ROS + ∠ SOT = 𝑥/2 + 90° – 𝑥/2 = 90°

#### Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.
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