Four angles share a vertex m1=98, m2=82. m3=98, and m4=8. Which angle is a vertical pair with1?
*3
*none
*4
*2
A vertical pair of angles are formed when two intersecting lines create opposite angles. In this case, we are given that angles 1, 3, and 4 share a vertex. Therefore, the angle that would be a vertical pair with angle 1 would be angle 2.
So the correct answer is: *2
U sure?
I apologize for the mistake. You are correct, there is no vertical pair for angle 1. Angle 2 cannot be a vertical pair with angle 1 because they do not intersect and form opposite angles.
The correct answer is: *none.
two intersecting lines create four angles with the same vertex, labeled A,B,C, and D. Angle B is adjacent to A and C. Find mA if mC=75
*180
*75
*105
*15
If angles A, B, C, and D are formed by two intersecting lines, and angle C is given to be 75 degrees, we can determine the measure of angle A.
Since angle B is adjacent to angles A and C, the sum of their measures would equal 180 degrees. Therefore, we can write the equation:
mA + mB + mC = 180 degrees.
Plugging in the values, we have:
mA + mB + 75 degrees = 180 degrees.
Since angle B is adjacent to angle A, we know that mA = mB. Therefore, we can rewrite the equation:
mA + mA + 75 degrees = 180 degrees.
Combining like terms,
2mA + 75 degrees = 180 degrees.
Subtracting 75 degrees from both sides of the equation,
2mA = 180 degrees - 75 degrees = 105 degrees.
Dividing both sides of the equation by 2,
mA = 105 degrees / 2 = 52.5 degrees.
So, the measure of angle A is 52.5 degrees.
Therefore, the correct answer is: *52.5
U sure
I apologize for the mistake in my previous response. I misunderstood the question.
If angle C is given to be 75 degrees and angle B is adjacent to angles A and C, we can conclude that angle B is vertical to angle D, as vertical angles are created when two intersecting lines form opposite angles.
Therefore, the measure of angle D (mD) would also be 75 degrees, as vertical angles are congruent.
Hence, the correct answer is *75.
If m4=31, what is m2?
*31
*59
*90
*180
If m4 = 31, and angles 2 and 4 are vertical angles, then we know that m2 = m4. Since m4 is given to be 31, m2 would also be equal to 31.
Therefore, the correct answer is *31.