Question

in figure PT and PS are tangents drawn from a point P to a circle with centre at O if angle opt is equal to 35 degree find a and b ​

Answer 1

$= > answer \: is \: angle \: a \: and \: b \: = 55$

Answer 2

$b=55^{\circ}$

$a=35^{\circ}$

Step-by-step explanation:

In triangle PTO

Angle OPT=35 degree

Angle TOP=b

Angle OTP=90 degree

Because radius is perpendicular to the tangent.

$\angle OPT+\angle PTO+\angle POT=180^{\circ}{/tex]</p><p><strong>By using triangle angles sum property</strong></p><p>Substitute the values </p><p>[tex]90+35+b=180$

$125+b=180$

$b=180-125=55^{\circ}$

a=$\angle TPO=35^{\circ}$

Because the line drawn from point lie outside the circle to the center bisects the angle between two tangents.

#Learns more:

https://brainly.in/question/2393042:Answered by Cute doll