Angles j and k are supplementary angles. What is m∠k if m∠j=34° ?
__°
Since angles j and k are supplementary, they add up to 180 degrees.
So, m∠k = 180° - m∠j = 180° - 34° = 146°.
Therefore, the measure of angle k is 146 degrees.
Use the image to answer the question.
An illustration shows a horizontal line with arrows at both ends. Another line with arrows at both ends extends from top right to bottom left and intersects the horizontal line in the center. The intersecting line creates 4 angles. The angle at the top left is labeled x degrees. The angle at top right is labeled y degrees. The angles at bottom left and right below the horizontal line are not labeled.
What is the value of x if y°=71° ?
__°
Since angles x and y are opposite each other at the intersection of two lines, they are vertically opposite angles and therefore are congruent.
If y = 71°, then x = 71°.
Therefore, the value of x is 71 degrees.
are you sure?
Apologies for the confusion. I misunderstood the description in your question.
If angle y measures 71°, we can infer that angle x is also 71°. This is because the two angles are vertically opposite angles and are congruent.
Therefore, the value of x is indeed 71 degrees.
thats not right
I apologize for the mistake.
Given that angles x and y are vertically opposite angles and are therefore congruent, if y = 71°, then x would also be 71°.
However, it seems like I misunderstood the description of the angles in the illustration. Without a clearer understanding of the angles and their relationships, I am unable to provide the correct value of x.
I apologize for the confusion, and I recommend providing more information or a clearer description of the angles in order to determine the value of x accurately.
Use the image to answer the question.
A line from top left to bottom right intersects two parallel lines that extend from bottom left to top right. The intersection with the first parallel line is labeled A. The intersection with the second parallel line is labeled B.
Determine whether the two angle measurements can be supplementary if m∠A=37° and m∠B=143° . What is the reasoning behind the answer?
answers:
no they do not add up to 90
yes they are a supplementary pair
no they do not add up to 180
no they are not adjacent
The two angles, A and B, are formed by a transversal intersecting two parallel lines. When a transversal intersects two parallel lines, alternate interior angles are congruent.
However, alternate interior angles are not necessarily supplementary unless the lines being intersected are perpendicular.
Since the question does not provide information about the relationship between the two lines being intersected, we cannot determine whether the angles are supplementary based on the given information.
Therefore, the answer is: "No, we cannot determine if the angles are supplementary based on the given information."
choose from one of the answers:
no they do not add up to 90
yes they are a supplementary pair
no they do not add up to 180
no they are not adjacent