Question

jyothi says"Angle in a minor circle segment is acute".do you agree with her? give reason​

Answer 1

Answer:

1

Secondary School Math 8 points

Prove that : a) angle in the major segment of a circle is acute b) angle in the minor segment of circle is obtuse

Ask for details Follow Report by Shreetjeshti 06.01.2017

Answers

Me · Beginner

Know the answer? Add it here!

prabhjyot

prabhjyot Ambitious

PSQ is major segment. and PRQ is minor segment in the circle.

we have to prove: angle prq is acute and psq is obtuse.

* Draw op, oq and pq.

We know that-- angle suspended by arc of circle at center is twice the angle suspended at any point on remaining part of the circle.

so, ∠ poq =2∠prq

but , 2∠ poq <180° (∵ ∠ of Δpoq)

∠poq<90°. ----> acute angle.

-----------------------------------------------------------------------------------------------------

now reflex angle poq = 2∠psq

but ∠ poq >180°.

so 2∠psq >180°

∴∠psq>90° ---->obtuse angle