Question

please tell the answer with step by step explanation ​

Answer 1

As ACBO is a quadrilateral

A=90°

B=90°

C=52°

O=?

Step-by-step explanation:

As ACBO is a quadrilateral

A=90°

B=90°

C=52°

90°+90°+52°+angle O =360°[all angles of a quadrilateral]

52°+ angle O =180°

angle O=128°

Answer 2

Answer:

the answer is 180 - 52 =128.

Step-by-step explanation:

see.

given :- AC and AB are two tangents .

angle ADB = 52 . let us take this as x

the tangents will make right angles with the radius .(By a theorem ).

and we know that sum of angles in a quadrilateral is 360.

Hence , by taking ASP. , we get ,

90 +90+ 52 + x = 360.

232+ x = 360

x=360-232= 128.

this is the required answer .

there is another method too.

the figure formed is a cyclic quad.

therefore , in a cyclic quad. , sum of opposite angels is 180.

taking 180- 52, we'll get 128.