Angle Measure & Segment Lengths

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Presentation transcript:

Angle Measure & Segment Lengths 12.4 Angle Measure & Segment Lengths

12.4 – Angle Meas. & Segment Lgth. A secant is a line that intersects a circle at 2 points

12.4 – Angle Meas. & Segment Lgth. Angles formed by secants, tangents, and chords intercept arcs on circles. The measures of the intercepted arcs can help you find the measures of the angles.

12.4 – Angle Meas. & Segment Lgth. The measure of an angle formed by 2 lines that intersect INSIDE a circle = (x + y) 1 2 x° y°

12.4 – Angle Meas. & Segment Lgth. The measure of an angle formed by 2 lines that intersect OUTSIDE a circle = 1 2 (x – y) x° y°

12.4 – Angle Meas. & Segment Lgth. Find x for each example x° 20° 95° 90° 46° x°

12.4 – Angle Meas. & Segment Lgth. Find x for each example x° 30° 110° 70° 110° x°

12.4 – Angle Meas. & Segment Lgth. Finding Segment Lengths inside or outside a circle a b c d a * b = c * d (w + x)w = (y + z)y x w y z

12.4 – Angle Meas. & Segment Lgth. Finding Segment Lengths inside or outside a circle z y t (y + z)y = t 2

12.4 – Angle Meas. & Segment Lgth Find the missing variable.

12.4 – Angle Meas. & Segment Lgth

12.4 – Angle Meas. & Segment Lgth

12.4 – Angle Meas. & Segment Lgth