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In

O
P
Q
,
△OPQ,
O
P


Q
O

OP

QO

and
m

Q
=
4
8

.
m∠Q=48

. Find
m

O


Sagot :

Answer:

∠O = 84°

Step-by-step explanation:

In ΔOPQ,

       OP ≅ OQ

So, ΔOPQ is an isosceles triangle.

             ∠P = ∠Q  {Angels opposite to equal sides are equal}

              ∠P = 48°

In ΔOPQ,

    ∠P + ∠Q + ∠O = 180°   {Angle sum property of triangle}

     48 + 48 + ∠O = 180

             96 + ∠O = 180

                     ∠O = 180 - 96

                     ∠O = 84°