Angles in Circles and Tangents

This video tutorial covers lesson 7 on the topic of circles, focusing on solving four questions related to finding angles of tangents. The instructor explains each question step-by-step, using diagrams to illustrate the concepts. Key points include understanding the sum of angles in a triangle, properties of tangents, and the use of right-angle triangles to find unknown angles. The video concludes with a summary of the solutions and encourages viewers to share the content with others preparing for competitive exams.

What is the main focus of Lesson 7 in the video?

• Calculating the radius of circles

• Measuring the distance between circle centers

• Determining the angle of tangents

• Finding the length of tangents

In the first question, what is the angle at the center of the circle formed by the chord?

• 36 degrees

• 54 degrees

• 72 degrees

• 90 degrees

How is the angle between the two tangents calculated in the first question?

• By dividing the angle at the center by two

• By using the sum of angles in a triangle

• By adding the angles formed by the tangents

• By subtracting the angle at the center from 180 degrees

In the second question, what is the given angle PAB?

• 65 degrees

• 25 degrees

• 50 degrees

• 90 degrees

What is the angle OAB in the second question?

• 90 degrees

• 65 degrees

• 25 degrees

• 50 degrees

In the third question, what is the angle at the center of the circle formed by the chord RS?

• 60 degrees

• 40 degrees

• 20 degrees

• 80 degrees

How is the angle PTQ calculated in the third question?

• By using the sum of angles in a triangle

• By dividing the angle at the center by two

• By subtracting the angle at the center from 180 degrees

• By using the properties of parallel chords

In the fourth question, what is the angle ATC?

• 30 degrees

• 90 degrees

• 60 degrees

• 48 degrees

What is the angle AOB in the fourth question?

• 54 degrees

• 108 degrees

• 36 degrees

• 72 degrees