Answer:
s = 33
Step-by-step explanation:
99=3s
(99/3) = s
s=33
Writing algebraic expressions
Answer:
20°
Step-by-step explanation:
40°, 70° and 90° are the measures of the three angles of the quadrilateral.
Measure of fourth angle of the Quadrilateral
= 360° - (40° + 70° + 90°)
= 360° - 200°
= 160°
Measure of angle 1 will be equal to the measure of the linear pair angle of 160° as they are corresponding angles.
Thus,
![m\angle 1 = 180\degree- 160\degree](https://tex.z-dn.net/?f=m%5Cangle%201%20%3D%20180%5Cdegree-%20160%5Cdegree)
![\implies\huge\purple{\boxed{ m\angle 1 = 20\degree}}](https://tex.z-dn.net/?f=%5Cimplies%5Chuge%5Cpurple%7B%5Cboxed%7B%20m%5Cangle%201%20%3D%2020%5Cdegree%7D%7D)
Alternate method:
![m\angle 1 = 180\degree- [360\degree-(40\degree+70\degree+90\degree)]](https://tex.z-dn.net/?f=m%5Cangle%201%20%3D%20180%5Cdegree-%20%5B360%5Cdegree-%2840%5Cdegree%2B70%5Cdegree%2B90%5Cdegree%29%5D)
![\implies m\angle 1 = 180\degree- [360\degree-200\degree]](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%20180%5Cdegree-%20%5B360%5Cdegree-200%5Cdegree%5D)
![\implies m\angle 1 = 180\degree- 160\degree](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%20180%5Cdegree-%20160%5Cdegree)
![\implies m\angle 1 = 20\degree](https://tex.z-dn.net/?f=%5Cimplies%20m%5Cangle%201%20%3D%2020%5Cdegree)