MENU
Question -

In the given figure, sidesQP and RQ of ╬ФPQR are produced to points S and T respectively. If тИаSPR = 135┬║ and тИаPQT = 110┬║, find тИаPRQ.



Answer -

It is given that,

тИаSPR = 135┬║ and тИаPQT = 110┬║

тИаSPR + тИаQPR = 180┬║ (Linear pair angles)

тЗТ 135┬║ + тИаQPR = 180┬║

тЗТ тИаQPR = 45┬║

Also, тИаPQT + тИаPQR = 180┬║ (Linear pair angles)

тЗТ 110┬║ + тИаPQR = 180┬║

тЗТ тИаPQR = 70┬║

As thesum of all interior angles of a triangle is 180┬║, therefore, for ╬ФPQR,

тИаQPR + тИаPQR + тИаPRQ =180┬║

тЗТ 45┬║ + 70┬║ + тИаPRQ = 180┬║

тЗТ тИаPRQ = 180┬║ тИТ 115┬║

тЗТ тИаPRQ = 65┬║

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
×