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A pizza is cut into six unequal slices (each cut starts at the center). The largest slice measures $90$ degrees: [asy] unitsize(0. 35inch); defaultpen(black+1); void pie(pair ctr, real fract, int slices, string lbl){ path c = circle(ctr,1); draw(c); fill(c,darkblue); path s = (ctr+(0,1)--ctr--ctr+(sin(2*pi*fract),cos(2*pi*fract)). Ctr+(sin(pi*fract),cos(pi*fract)). Cycle); draw(s); fill(s,yellow); for(int i=0;i



Answer :

As calculated from the data given we get to know that the degree of 5th slice is 42 degrees.

As we know the sum of angle around a point is 360 degree,

90°+90°-x+90°-2x+90°-3x+90°-4x+90°-5x=360°

90°*6-15x=360°

540°-360°=15x

180°=15x

x=12°

The fifth slice's degree measurement is

90°-4x

=90°-4*12

=90°-48

=42°.

When two rays are united at a common point, an angle is created. The two rays are referred to as the arms of the angle, while the common point is referred to as the node or vertex. The symbol "" stands for the angle.

Typically, an angle is measured with a protractor and expressed in degrees. Angles of 30°, 45°, 60°, 90°, and 180° are shown here. The many types of angles are determined by the angles' degrees values.

To learn more about degree

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