Question

find the size of unknown angles in the following figure​

Answer 1

Angle TOP= 50, Angle POA= 55 and total angle TOA= 50+55= 105

Answer 2

Answer: 55°

Hiii...

We will name ∠OPT as y

We will name ∠OPA as z

x = 90°

y = 90°

This is because the line OP is a perpendicular bisector

This means the line OP divides the angle P in half

so angle x and y is 90°

Now, we have to find x, since we know all the angle in ΔAPO, we can find x, because the sum of angle is 180° which means

x + y + 35° = 180°  

x + 90° + 35° = 180°        (substituting the value of y)

x + 35° = 180° - 90°

x + 35° = 90°

x = 90° - 35°

x = 55°

Therefore the size of the unkown angle is 55°

Hope this was clearr and helpful

Have a Great Day  :D