Which expression finds the measure of an a 126 degree angle?
1 answer:
Answer: OPTION D.
Step-by-step explanation:
<h3> The complete exercise is: "Which expression finds the measure of an angle that is coterminal with a 126° angle?</h3><h3> A.Coterminal angles are those angles that are in standard position and and whose terminal sides are common.
If an angle is given in degrees, you can find the angles that are coterminal with that angle by adding or subtracting 360 degrees.
By definition, knowing and angle , the following expression shows all the angles that are Coterminal with the angle
, for any integer "n":
In this case, you know that:
Then, you can say that its coterminal angles are:
Knowing that "n" is an integer, if this is , you get the following expression:
Simplifying:
You might be interested in
When two straight lines intersect, the vertical opposite angles
intersect. the other two angles are also equal. Let the known angle be
x, then the other two adjacent angles are obtained subtracting twice of x
from 360 and dividing the result by 2.
Therefore, the table can by filled as follows:
Row 1:
Given <GEF = 120°
<FEM is adjacent to <GEF, thus
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <MEH = 120°
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 60°.
Row 2:
Given <MEH = 150°
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 150°
<FEM is adjacent to <GEF, thus
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 30°.
Row 3:
Given that <FEM = 25°
<FEM is adjacent to <GEF, thus
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 155°
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 25°.
Row 4:
Given that <HEG = 45°
<HEG is adjacent to <GEF, thus
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <FEM = 45°
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 135°.
Therefore, the table can by filled as follows:
Row 1:
Given <GEF = 120°
<FEM is adjacent to <GEF, thus
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <MEH = 120°
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 60°.
Row 2:
Given <MEH = 150°
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 150°
<FEM is adjacent to <GEF, thus
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 30°.
Row 3:
Given that <FEM = 25°
<FEM is adjacent to <GEF, thus
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 155°
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 25°.
Row 4:
Given that <HEG = 45°
<HEG is adjacent to <GEF, thus
<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <FEM = 45°
<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 135°.