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secondary 4 | E Maths
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Please help. Not sure how to do
Date Posted: 1 month ago
Views: 101
All angles here are measured in degrees.
Angle PRQ
= half of angle POQ (because angle in a centre of a circle is twice the corresponding angle at the circumference of the same circle)
= half of 8x
= 4x
Now, let’s draw a line from O to R.
Won’t OP = OR?
Then, angle ORP = x because triangle OPR is isosceles.
By a similar argument, angle ORQ = 24.
Obviously angle PRQ is made up of its components, angles ORP and ORQ, so
4x = x + 24
4x - x = 24
3x = 24
x = 24/3
x = 8
Angle PRQ
= half of angle POQ (because angle in a centre of a circle is twice the corresponding angle at the circumference of the same circle)
= half of 8x
= 4x
Now, let’s draw a line from O to R.
Won’t OP = OR?
Then, angle ORP = x because triangle OPR is isosceles.
By a similar argument, angle ORQ = 24.
Obviously angle PRQ is made up of its components, angles ORP and ORQ, so
4x = x + 24
4x - x = 24
3x = 24
x = 24/3
x = 8
See 1 Answer
done
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This is one approach
Date Posted:
1 month ago
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