It is given that quadrilateral DEFG is inscribed in circle P. Because a circle measures 360 degrees, mEFG + mGDE = 360 degrees. By the_,1/2mEFG+1/2mGDE=180 degrees. By the inscribed angles theorem,_=1/2 mGDE and _=1/2mEFG. This means m

The formula for the volume of pyramid with same base and height is Bh/3.  So ratio of volume of the pyramid and the volume of prism is (Bh/3)/Bh = 1/3. So possible ans is 1 to 3 To prove m<G+m<E = 180 degree, use inscribed quadrilateral theorem which states that a quadrilateral can be inscribed in circle if and only if the opposite angles of a quadrilateral are supplementary. Inscribed angle E has half the measurements of intercepted arc DGF Intercepted arc DGF is 180 degree because full circle is 360 degree So angle E is 90 degree Similarly we can prove that inscribed angle G has half the measurements of intercepted arc DEF which is 180 degree so angle G is 90 degree

Therefore m<E+m<E = 90+90 = 180 degree

Step-by-step explanation:

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