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secondary 3 | E Maths
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Hi, could you kindly advise me the working solution for this question please? It may be a simple question to you but this chapter is new to me so I am still struggling to learn :(
I can't solve it.
Have been struggling for the past 1hr.
Pls help and really thanks a lot!
Date Posted: 3 years ago
Views: 245
∠PTQ = ∠PSQ = 20°
(angles in the same segment, PQ)
∠PQT = 180° - ∠PTQ - ∠TPQ
= 180° - 20° - 100°
= 60° (angle sum of triangle PQT)
(angles in the same segment, PQ)
∠PQT = 180° - ∠PTQ - ∠TPQ
= 180° - 20° - 100°
= 60° (angle sum of triangle PQT)
Yes! Thanks a lot J :D
I didn't see it till you point it out to me.
haha...I think I know how to solve it now.
Thanks ;)
I didn't see it till you point it out to me.
haha...I think I know how to solve it now.
Thanks ;)
Welcome.
Alternative method :
∠TSQ + ∠TPQ = 180°
(angles in opposite segments are supplementary / opposite angles of a cyclic quadrilateral add up to 180°.
The quadrilateral here is TSQP )
So angle ∠TSQ
= 180° - ∠TPQ
= 180° - 100°
= 80°
∠TSP = ∠TSQ - ∠PSQ (adjacent angles)
= 80° - 20°
= 60°
∠PQT = ∠TSP = 60°
(angles in the same segment PT)
Alternative method :
∠TSQ + ∠TPQ = 180°
(angles in opposite segments are supplementary / opposite angles of a cyclic quadrilateral add up to 180°.
The quadrilateral here is TSQP )
So angle ∠TSQ
= 180° - ∠TPQ
= 180° - 100°
= 80°
∠TSP = ∠TSQ - ∠PSQ (adjacent angles)
= 80° - 20°
= 60°
∠PQT = ∠TSP = 60°
(angles in the same segment PT)
Good morning J, thank you so much for your alternative solution :)
Have a nice day ahead.
Have a nice day ahead.
Welcome
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Good evening Candice! Take this topic slowly, one step at a time. In this chapter, the difficulty lies in identifying the correct angles. Sometimes it does get difficult to spot a pattern inside the question.
Date Posted:
3 years ago
Good morning Mr Eric :)
Really appreciate your advice and once again thank you so much for your advised working solution.
Have a good day ahead.
Really appreciate your advice and once again thank you so much for your advised working solution.
Have a good day ahead.
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