- One of the most important and exam oriented question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15In a triangle ABC, the incircle (centre O) touches BC, CA and AB at P, Q and R respectively.
- And we havd to calculate (i) ∠QOR (ii) ∠QPR given that ∠A = 60°.
- ICSE Avichal publication
Understanding ICSE Mathematics
Question 26
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Question 26. In a triangle ABC, the incircle (centre O) touches BC, CA and AB at P, Q and R respectively. Calculate (i) ∠QOR (ii) ∠QPR given that ∠A = 60°.
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Solution:
![ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q26.1](https://www.learninsta.com/wp-content/uploads/2018/08/ML-Aggarwal-Class-10-Solutions-for-ICSE-Maths-Chapter-15-Circles-Ex-15.3-Q26.1.png)
![ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 15 Circles Ex 15.3 Q26.2](https://www.learninsta.com/wp-content/uploads/2018/08/ML-Aggarwal-Class-10-Solutions-for-ICSE-Maths-Chapter-15-Circles-Ex-15.3-Q26.2.png)
OQ and OR are the radii and AC and AB are tangents.
OQ ⊥ AC and OR ⊥ AB
Now in the quad. AROQ