Points $$\(R\)$$ and $$\(S\)$$ lie on a circle with diameter $$\(P Q\)$$. $$\(R Q\)$$ is parallel to $$\(P S\)$$. Angle $$\(R P Q=58^{\circ}\)$$. Find the value of $$\(x\)$$, giving a geometrical reason for each stage of your working. ................................................................................................................................................. . ................................................................................................................................................. . ................................................................................................................................................. . $$\[ x=............................................ \]$$
Exam No:0580_m21_qp_42 Year:2021 Question No:3(b)
Answer:
angle [in a] semicircle is 90
Allied, co-interior [add to 180 ]
or
Angles in triangle \([=180]\) and alternate oe
32
Allied, co-interior [add to 180 ]
or
Angles in triangle \([=180]\) and alternate oe
32
Knowledge points:
E4.7.3 angles formed within parallel lines
E4.7.6 angle in a semicircle
Solution:
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