Angle Measures and Intersecting Secants

This video tutorial covers the concepts of secant angles and chords in geometry. It explains the formulas for calculating angles formed by intersecting chords and secants, both inside and outside a circle. The video provides detailed examples and calculations to illustrate these concepts. Additionally, it includes a section on solving for X in geometric problems, emphasizing the application of these formulas.

What is a secant in relation to a chord?

• A secant is a line that extends beyond a chord.

• A secant is a tangent to a circle.

• A secant is a line segment within a circle.

• A secant is a point on a circle.

Which formula is used for angles formed by intersecting chords inside a circle?

• Half the difference of intercepted arcs

• Twice the intercepted arc

• Half the sum of intercepted arcs

• The full intercepted arc

How do you find the angle formed by intersecting secants outside a circle?

• Half the sum of intercepted arcs

• Half the difference of intercepted arcs

• Twice the intercepted arc

• The full intercepted arc

In problem 1, what is the measure of angle QPR?

• 130 degrees

• 120 degrees

• 110 degrees

• 115 degrees

In problem 2, what is the measure of angle SRQ?

• 45 degrees

• 55 degrees

• 50 degrees

• 40 degrees

In problem 3, what is the measure of angle HGF?

• 57 degrees

• 60 degrees

• 58 degrees

• 59 degrees

In problem 4, what is the measure of angle UVT?

• 112 degrees

• 113 degrees

• 115 degrees

• 114 degrees

In problem 5, what is the measure of angle RQP?

• 97 degrees

• 98 degrees

• 96 degrees

• 95 degrees

In problem 6, what is the measure of angle DCB?

• 73 degrees

• 70 degrees

• 72 degrees

• 71 degrees

In problem 7, what is the measure of arc BC?

• 110 degrees

• 100 degrees

• 80 degrees

• 90 degrees