Apply other angle relationships in circles

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Other Angle Relationships in Circles Section 10.4

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Presentation transcript:

Apply other angle relationships in circles 10.5

Remember… The measure of an inscribed angle is half the measure of the arc. 92º 46º

Something new The angle created by the tangent and a chord is half the measure of the arc. Or we can say that the arc is twice the measure of the angle created.

Find the measures of the 2 angles 230º

Find the measures of the arcs 110º 250º

Angles inside a circle theorem If 2 chords intersect to make an X inside a circle, then half the sum of the opposite arcs equals the measure of the angle.

Find the value for x ?

Find the value for y 78°

Find the value of x .5(x+45)=57.5 57.5 x+45=115 x=70

Angles outside the circle theorem Larger arc – smaller arc, then divide by 2 to get the measure of the angle

Find the value of x

Find the value of a

Find the value of x 360-232 =128° 232 Hmmmm…

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