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

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.

step-by-step explanation:

ok so im not 100% sure but you would start by adding 5.1t and 1.9t beacuse they have the same variable. that is 7t.   then add -3.6 + 1.2 which is -2.4

so then keep that as -2.4 + 7t. i apologize if this is incorrect. best luck on your test < 3

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.