Answered

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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 :

devishri1977

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°

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