If you look along the downward sloping line you can see that:
85+2x+x-10=180 combine like terms on left side
3x+75=180 subtract 75 from both sides
3x=105 divide both sides by 3
x=35
Now if L and M are parallel, angle 3 must be equal to x-10 because they are vertical angles (equal opposing angles). We know now that x=35 so:
angle 3 =35-10=25°
Answer:
7x^-7, that is the answer
Answer:
<h2>x = 44 and y = 43</h2>
Step-by-step explanation:
We know: If a quadrilateral is inscribed in a circle, then the sum of measures of opposite angles is equal to 180°.
Therefore we have the equations:
![(1)\qquad2x+(2x+4)=180\\\\(2)\qquad y+(3y+8)=180](https://tex.z-dn.net/?f=%281%29%5Cqquad2x%2B%282x%2B4%29%3D180%5C%5C%5C%5C%282%29%5Cqquad%20y%2B%283y%2B8%29%3D180)
Solve:
![(1)\\2x+2x+4=180\qquad\text{subtract 4 from both sides}\\\\4x=176\qquad\text{divide both sides by 4}\\\\x=44\\\\(2)\\y+3y+8=180\qquad\text{subtract 8 from both sides}\\\\4y=172\qquad\text{divide both sides by 4}\\\\y=43](https://tex.z-dn.net/?f=%281%29%5C%5C2x%2B2x%2B4%3D180%5Cqquad%5Ctext%7Bsubtract%204%20from%20both%20sides%7D%5C%5C%5C%5C4x%3D176%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%204%7D%5C%5C%5C%5Cx%3D44%5C%5C%5C%5C%282%29%5C%5Cy%2B3y%2B8%3D180%5Cqquad%5Ctext%7Bsubtract%208%20from%20both%20sides%7D%5C%5C%5C%5C4y%3D172%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%204%7D%5C%5C%5C%5Cy%3D43)
Answer:
761+100=861
Step-by-step explanation: