In adjacent figure lines pq line segments RS line segments each other at point o angle por: roq =5:7 find all angles
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Answered by
1
angles are por=75°
soq=75°
roq=105°
pos=105°
soq=75°
roq=105°
pos=105°
Answered by
27
Let angle POR and angle ROQ be 5x and 7x respectively. Now, since they lie on a straight line, they tend to form a linear pair. [i.e., 180°]...So,
5x + 7x = 180°
→12x = 180°
→x= 180°/12
→x= 15°
Now,
⏩ 5x= 5 × 15° = 75° [ angle POR ]
⏩7x= 7 × 15° = 105° [ angle ROQ ]
Also,
⏩ angle SOQ= 105° ( V.O.A of angle POR)
and
⏩angle QOR= 75° (V.O.A of angle POS)
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Hope it helps...:-)
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