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secondary 3 | E Maths
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Skr
Skr

secondary 3 chevron_right E Maths chevron_right Singapore

how to find x!!helppp

Date Posted: 1 week ago
Views: 7
Eric Nicholas K
Eric Nicholas K
1 week ago
No, ABC is not 116 degrees
Skr
Skr
1 week ago
why?
Eric Nicholas K
Eric Nicholas K
1 week ago
The ‘angle at centre is twice the angle at circumference’ rule does not work this way.
Skr
Skr
1 week ago
ohh ...then how to calculate for x?
Eric Nicholas K
Eric Nicholas K
1 week ago
Will do the full working when I have time.
Skr
Skr
1 week ago
....ok can asap
J
J
1 week ago
EOD = 2 x ECD (angle at centre = 2 x angle at circumference)

58° = 2 x ECD
ECD = 58° ÷ 2 = 29°

ABCE is a cyclic quadrilateral.

So EAB + ECB = 180° (opposite angles of a cyclic quadrilateral add up to 180)

ECB = 180° - 100° = 80°

x = ECD + ECB = 80° + 29° = 109°
Eric Nicholas K
Eric Nicholas K
1 week ago
And follow up with the EABC cyclic quadrant.

Since EAB is 100 deg, ECB is 180 - 100 = 80 deg.

Add this to J’s answer.

EDIT: J has since included this 80 degrees. Final answer is 109 degrees.

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Eric Nicholas K
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Here!
J
J
1 week ago
Interesting method
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Eric Nicholas K
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1639 answers (Tutor Details)
Alternative method