Answer:
Step-by-step explanation:
In a parallelogram, the opposite sides are equal and parallel.
Also, consecutive angles in a parallelogram are supplementary. This means that the sum of the consecutive angles is 180 degrees.
Angle 2m and angle n are supplementary angles. Therefore,
2m + n = 180 - - - - - - - - - - - -1
Also, the opposite angle in a parallelogram are equal. This means that
2m = 70
m = 70/2
m = 35 degrees
Substituting m = 35 into equation 1, it becomes
2 × 35 + n = 180
70 + n = 180
n = 180 - 70
n = 110 degrees
Answer:
We have the value as 3m-7
Step-by-step explanation:
It is given that we have the real number m. Now we are required to find the simplified form or the value of the expression: ![8 + 3(m - 5)](https://tex.z-dn.net/?f=8%20%2B%203%28m%20-%205%29)
Thus we can write it as:
![8 + 3(m - 5)\\=8 + 3m-3\cdot \:5](https://tex.z-dn.net/?f=8%20%2B%203%28m%20-%205%29%5C%5C%3D8%20%2B%203m-3%5Ccdot%20%5C%3A5)
Here we have to use the property:
![a\left(b-c\right)=ab-ac](https://tex.z-dn.net/?f=a%5Cleft%28b-c%5Cright%29%3Dab-ac)
So now we have:
![8 + 3m-3\cdot \:5\\=8+3m-15\\=3m-7](https://tex.z-dn.net/?f=8%20%2B%203m-3%5Ccdot%20%5C%3A5%5C%5C%3D8%2B3m-15%5C%5C%3D3m-7)
So this is the required final value of the expression.