Eric Nicholas K's answer to Candice lim's Secondary 3 E Maths Singapore question.
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Good evening Candice! Here is a much longer alternative which does not require you to know the properties of circles at all other than radii of circles.
Date Posted:
3 years ago
The other method is to draw a line from P to S like what Mimosa has done.
Then, QPS
= 180 - QRS
= 180 - 138
= 42
(angles in opposite segments are supplementary / opposite angles of a cyclic quadrilateral adds up to 180 degrees)
SPT
= 95 - 42
= 53
x
= 180 - 53 - 53 (since SPT is isosceles)
= 74
Sum of interior angles is 540.
y
= 540 - 95 - 130 - 138 - 74
= 103
Then, QPS
= 180 - QRS
= 180 - 138
= 42
(angles in opposite segments are supplementary / opposite angles of a cyclic quadrilateral adds up to 180 degrees)
SPT
= 95 - 42
= 53
x
= 180 - 53 - 53 (since SPT is isosceles)
= 74
Sum of interior angles is 540.
y
= 540 - 95 - 130 - 138 - 74
= 103
Thank you so much for the alternative solution, Mr Eric :)
I am now struggling on another E maths question which I need your help. I will be uploading it in a minute, pls help. Thanks.
I am now struggling on another E maths question which I need your help. I will be uploading it in a minute, pls help. Thanks.
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