produced to points S and T respectively. if/_ SPR=135° and /_ PQT=110°. Find /_
PRQ
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Answer : /_ PQR = 55°
step by step answer :
/_ PQR +/_ QPR [ exterior angle equal to sum of interior angle ] (1)
Similarly,
/_SPR = /_QPR (2)
from (1) and (2)
110°- /_ PRQ= /_QPR
135°- /_ PQR =/_QPR
=> 110°- PRQ = 135°- PQR
=> 110° - /_ PRQ =135°-80° [ °.° /_ PQR = 180° - 110°=80°]
110°- /_ PRQ = 55°
110°- 55°= /_ PRQ
/_ PRQ = 55°
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