HELP BRAINLIEST!!!

A central angle of a circle measures 42 degrees. What else can be shown to measure 42 degrees?

a. the supplementary angle
b. the vertical angle
c. the adjacent angle
d. the arc measurement of the given angle
e. the arc measurement of the supplementary angle
f. the arc measurement of the vertical angle
g. the arc measurement of the adjacent angle

Question

grainofrice69 grainofrice69

28-04-2020
Mathematics

contestada

HELP BRAINLIEST!!!

A central angle of a circle measures 42 degrees. What else can be shown to measure 42 degrees?

a. the supplementary angle
b. the vertical angle
c. the adjacent angle
d. the arc measurement of the given angle
e. the arc measurement of the supplementary angle
f. the arc measurement of the vertical angle
g. the arc measurement of the adjacent angle

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micahdisu micahdisu · Answer 1 · 2020-05-07T04:10:14+02:00

Answer: The correct answer is option B: The vertical angle

Step-by-step explanation: Please refer to the picture attached for further details.

The circle with center O has an arc AB with a central angle of 42 degrees as shown in the diagram (not draw to scale).

If the line A is extended to point D and also line B is extended to point C both along the circumference of the circle O, then you would have another arc CD on the circle.

If two intersecting lines AD and BC form a pair of angles (shown here as 42° and x°) the angles are called vertical angles, and vertical angles in a circle are equal.

Hence the only thing that can be shown to measure 42 degrees in the question above is a vertical angle.