In the given figure, PQ and RS intersect each other at o ray OR and ra

1.	In the given figure, PQ and RS intersect each other at o ray OR and ray OB bisect POR and POS respectively. If POA:POB = 2:7, then find SOQ and BOQ
Answer» Answer: 55 Step-by-step explanation: in triangle PQR, PQ=PR. Therefore PQR is an ISOSCELES triangle. therefore, angle Q= angle R(because angles opposite to EQUAL sides of an isosceles triangle are equal) angle P +angle Q + angle R= 180°(angle sum property) 2angle Q + angle P = 180°(angle Q= angle R) 2angle Q=180°-70° angle Q= 110°/2 angle Q=55°=angle R

In the given figure, PQ and RS intersect each other at o ray OR and ray OB bisect POR and POS respectively. If POA:POB = 2:7, then find SOQ and BOQ

Answer»

Answer:
55
Step-by-step explanation:
in triangle PQR,
PQ=PR. Therefore PQR is an ISOSCELES triangle.
therefore, angle Q= angle R(because angles opposite to EQUAL sides of an isosceles triangle are equal)
angle P +angle Q + angle R= 180°(angle sum property)
2*angle Q + angle P = 180°(angle Q= angle R)
2*angle Q=180°-70°
angle Q= 110°/2
angle Q=55°=angle R