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TP is a tangent to the circle at centre O. The value of x is

TP is a tangent to the circle at centre O. The value of x is-example-1
User Omar Jayed
by
2.8k points

2 Answers

14 votes
14 votes

Answer:

x = 62

Explanation:

the angle between a tangent and the radius at the point of contact = 90°

then Δ PTO is right

the sum of the 3 angles in the triangle = 180° , so

x = 180 - 90 - 28 = 180 - 118 = 62

User BisonAVC
by
2.5k points
8 votes
8 votes

Answer:

x = 62°

Explanation:

TP is a tangent to the circle at centre O

means

TP is perpendicular to TO

Then

m∠OTP = 90°

Then

OTP is a right triangle

Then

x = 90 - 28

= 62

User Abuteau
by
2.7k points