Use the information to answer the question.
An illustration shows intersecting lines and rays. The resulting angles are labeled. A vertical line is intersected by an upward slanting line from left to right. A downward slanting ray extends from the point where the lines intersect to the bottom right. Starting from the top part of the vertical line, the first angle between the vertical line and the slanting line is labeled A. Moving clockwise, next angle is labeled Angle B, then Angle C, then Angle D, and then Angle E. All of the angles have degree signs next to their labels, but they do not have degree measurements.
In the diagram, m∠A=(4x−10)° and m∠D=(2x+22)° . What is the measure of ∠D?
7 answers
The measure of ∠D is (2x+22)°.
solve. the. question.
To find the measure of ∠D, we need to set up an equation using the given information.
From the diagram, we know that m∠D = (2x+22)°.
We are not given the value of x, so we cannot find the exact measure of ∠D. However, if we are given additional information or a value for x, we can substitute it into the equation to find the measure of ∠D.
From the diagram, we know that m∠D = (2x+22)°.
We are not given the value of x, so we cannot find the exact measure of ∠D. However, if we are given additional information or a value for x, we can substitute it into the equation to find the measure of ∠D.
all the lines in the information are connected by one ray.
I apologize for the confusion. Since all the lines in the information are connected by one ray, we can determine the measure of ∠D by considering the relationship between vertical angles.
Vertical angles are formed when two lines intersect. They are congruent, meaning they have the same measure. Therefore, we can say that ∠A and ∠D are congruent.
So, we have:
m∠A = m∠D
Substituting the given information, we have:
4x - 10 = 2x + 22
Now, we can solve for x:
4x - 2x = 22 + 10
2x = 32
x = 16
To find the measure of ∠D, substitute the value of x into the equation for ∠D:
m∠D = 2x + 22
m∠D = 2(16) + 22
m∠D = 32 + 22
m∠D = 54
Therefore, the measure of ∠D is 54 degrees.
Vertical angles are formed when two lines intersect. They are congruent, meaning they have the same measure. Therefore, we can say that ∠A and ∠D are congruent.
So, we have:
m∠A = m∠D
Substituting the given information, we have:
4x - 10 = 2x + 22
Now, we can solve for x:
4x - 2x = 22 + 10
2x = 32
x = 16
To find the measure of ∠D, substitute the value of x into the equation for ∠D:
m∠D = 2x + 22
m∠D = 2(16) + 22
m∠D = 32 + 22
m∠D = 54
Therefore, the measure of ∠D is 54 degrees.
finally after two full questions you got it
I apologize for any confusion caused by my previous responses. Thank you for your patience, and I'm glad we were able to determine the correct measure of ∠D. If you have any more questions, please feel free to ask.
1 answer