question; in the accompanying diagram of parallelogram abcd,m<a=(2x-10) and m<b=(5x+10)
repost with more information, and a question.
Got no diagrams here.
X=25
To better help you with your question, could you please provide the diagram of parallelogram ABCD? It would be easier for me to provide step-by-step guidance if I can refer to the diagram directly.
To find the value of x in the given diagram of parallelogram ABCD, we will use the fact that opposite angles in a parallelogram are congruent.
In the parallelogram ABCD, angle A is opposite angle C, and angle B is opposite angle D.
According to the given information:
m< A = 2x - 10
m< B = 5x + 10
Since angle A is opposite angle C, we can set up an equation to equate their measures:
2x - 10 = m< C (equation 1)
Similarly, since angle B is opposite angle D, we can set up an equation to equate their measures:
5x + 10 = m< D (equation 2)
Now, we can solve this system of equations to find the value of x.
To do that, we'll isolate x in equation 1:
2x - 10 = m< C
Add 10 to both sides:
2x = m< C + 10
Divide both sides by 2:
x = (m< C + 10) / 2 (equation 3)
Next, we'll isolate x in equation 2:
5x + 10 = m< D
Subtract 10 from both sides:
5x = m< D - 10
Divide both sides by 5:
x = (m< D - 10) / 5 (equation 4)
Now, we have two expressions for x: (m< C + 10) / 2 from equation 3, and (m< D - 10) / 5 from equation 4.
Therefore, we need additional information or known values for the measures of angles C and D to determine the specific value of x.