Given:
A figure of a parallelogram.
The vertex angles are
.
To find:
The values of a and b.
Solution:
We know that the pairs of consecutive angles of a parallelogram are supplementary angles. It mean their sum is 180 degrees.
(Supplementary angles)
![(17b+10)^\circ=180^\circ](https://tex.z-dn.net/?f=%2817b%2B10%29%5E%5Ccirc%3D180%5E%5Ccirc)
![17b+10=180](https://tex.z-dn.net/?f=17b%2B10%3D180)
Subtract 10 from both sides.
![17b=180-10](https://tex.z-dn.net/?f=17b%3D180-10)
![17b=170](https://tex.z-dn.net/?f=17b%3D170)
Divide both sides by 17.
![b=\dfrac{170}{17}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B170%7D%7B17%7D)
![b=10](https://tex.z-dn.net/?f=b%3D10)
Now,
![(5b+2)^\circ=(5(10)+2)^\circ](https://tex.z-dn.net/?f=%285b%2B2%29%5E%5Ccirc%3D%285%2810%29%2B2%29%5E%5Ccirc)
![(5b+2)^\circ=(50+2)^\circ](https://tex.z-dn.net/?f=%285b%2B2%29%5E%5Ccirc%3D%2850%2B2%29%5E%5Ccirc)
![(5b+2)^\circ=52^\circ](https://tex.z-dn.net/?f=%285b%2B2%29%5E%5Ccirc%3D52%5E%5Ccirc)
And,
(Supplementary angles)
![52^\circ+2a^\circ=180^\circ](https://tex.z-dn.net/?f=52%5E%5Ccirc%2B2a%5E%5Ccirc%3D180%5E%5Ccirc)
![2a^\circ=180^\circ-52^\circ](https://tex.z-dn.net/?f=2a%5E%5Ccirc%3D180%5E%5Ccirc-52%5E%5Ccirc)
![2a^\circ=128^\circ](https://tex.z-dn.net/?f=2a%5E%5Ccirc%3D128%5E%5Ccirc)
Divide both sides by 2.
![a^\circ=\dfrac{128^\circ}{2}](https://tex.z-dn.net/?f=a%5E%5Ccirc%3D%5Cdfrac%7B128%5E%5Ccirc%7D%7B2%7D)
![a^\circ=64^\circ](https://tex.z-dn.net/?f=a%5E%5Ccirc%3D64%5E%5Ccirc)
![a=64](https://tex.z-dn.net/?f=a%3D64)
Therefore, the value of a is 64 and the value of b is 10.
You can evaluate / find
<span>8.64 x 10^6
-----------------
4.32 x 10^3
by first dividing 8.64 by 4.32 and then dividing 10^6 by 10^3:
2*10^3 (answer)
Please choose the question you want help with next, and post it separately.
</span>
You would do 5 times 4 which is 20. then count how many zero's there are and put them after the 20.
Answer: You divided 24 by 3 then you take the answer
Step-by-step explanation:I hope it help