TECHNICAL MATHEMATICS



8-3, Inscribed Angles

Draw a picture

to illustrate each conjecture

Circle Conjecture #4 (9-4)

If an angle is inscribed in a circle, then

Example 1 – Find the value of x.

a) b)

Circle Conjecture #5 (9-5)

If two inscribed angles of a circle

intercept the same arc, then

Example 2 –

a) Find the measures of (1 and (2 b) Find the value of x.

Draw a picture

to illustrate each conjecture

Circle Conjecture #6 (9-6)

If an inscribed angle of a circle intercepts

a semicircle, then

Example 3 –

a) Find the value of x. b) Find the value of missing arc measure.

Circle Conjecture #7 (9-7)

If a quadrilateral is inscribed in a circle, then

Example 4

If m(HIF = 92o and m(IFG = 84o, then

a) m(GHI = ______ b) m(FGH = ______

-----------------------

F

G

O

H

I

52Ú[?]

x

5x

2

116Ú[?]

1

x+82

3x

140Ú[?]

x

34Ú[?]

x

F

G

O

H

I

52˚

x

5x

2

116˚

1

x+82

3x

140˚

x

34˚

x

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