contestada

A) Angle CDE measures 80 degrees.B)Angle CDE measures 100 degrees C) The sum of the measures of the arcs from E to C, one passing through D and passing through b is 360D)The arcs from E to C passing through D measures 100 degreesE) Angle BCD measures 50 degrees F) The arc from B to D passing through C measures 100

A Angle CDE measures 80 degreesBAngle CDE measures 100 degrees C The sum of the measures of the arcs from E to C one passing through D and passing through b is class=

Respuesta :

Given the figure of a cyclic quadrilateral

We will check whether the given statements are true or false.

A) Angle CDE measures 80 degrees.

True

Because the sum of the opposite angles has a sum of 180

B) Angle CDE measures 100 degrees

False

C) The sum of the measures of the arcs from E to C, one passing through D and passing through b is 360

True

Because the sum of the central angles of the circle = 360

The two arcs are forming the complete circle.

D)The arcs from E to C passing through D measure 100 degrees

False

Because the measure of the arc = 2 times the angle CBE = 200

E) Angle BCD measures 50 degrees

False

Because the measure of the angle BCD = 180 - 50 = 130

The sum of the opposite angles = 180

F) The arc from B to D passing through C measures 100

True

Because the inscribed angle opposite the arc = 50

So, the measure of the arc = 2 times the opposite inscribed angle

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