Q7 of 16 Page 88

In the figure beside AB||CD; let’s write the measurement of ∠PQR.



Given that AB||CD,


Draw a line through Q parallel to both AB and CD such that AB||XY||CD


Also, ∠APQ=30° and ∠CRQ=40°


Now, as AB||XY,


∠PQY=∠APQ=30° (alternate interior angles)………..(1)


Also, XY||CD,


∠YQR=∠CRQ=40° (alternate interior angles)…………(2)


Now, ∠PQR=∠PQY+∠YQR


⇒ ∠PQR=30°+40° (from (1) and (2))


⇒ ∠PQR=70°


Hence, ∠PQR=70°


More from this chapter

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5 C

Examining the measurement of the angles given below let’s conclude logically AB&CD are parallel.


 6

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∠EGB=50°; then write the measurement of ∠AGE, ∠AGH, ∠BGH, ∠GHV, ∠GHD,


∠CGF and ∠DHF.



 8

In the figure beside PQ||RS, ∠BPQ=40°, ∠BPR=155° and ∠CRS=70°; let’s write the measurement of all the angles of APR


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O is any point inside two parallel lines AB and CD. OP and OQ are two perpendiculars on AB and CD respectively. Let’s prove that P,O and Q are collinear.