Step-by-step explanation:
the picture isn't realistic but mathematically it's:
1) = 121°
2) = 59°
0.4 is greater because 0.04 is has a zero in front of it
Answer:
4.5 -3
Step-by-step explanation:
Answer:
![\boxed{ \bold{ \sf{x = 16}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Csf%7Bx%20%3D%2016%7D%7D%7D)
![\boxed{ \bold{ \sf{m < AFD = 82}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Csf%7Bm%20%3C%20AFD%20%3D%2082%7D%7D%7D)
Step-by-step explanation:
![\sf{5x + 18 = 3x + 50}](https://tex.z-dn.net/?f=%20%5Csf%7B5x%20%2B%2018%20%3D%203x%20%2B%2050%7D)
( Being vertically opposite angles)
Vertically opposite angles are always equal.
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S and change it's sign
⇒![\sf{5x - 3x = 50 - 18}](https://tex.z-dn.net/?f=%20%5Csf%7B5x%20%20-%203x%20%3D%2050%20-%2018%7D)
Collect like terms
⇒![\sf{2x = 50 - 18}](https://tex.z-dn.net/?f=%20%5Csf%7B2x%20%3D%2050%20-%2018%7D)
Subtract 18 from 50
⇒![\sf{2x = 32}](https://tex.z-dn.net/?f=%20%5Csf%7B2x%20%3D%2032%7D)
Divide both sides of the equation by 2
⇒![\sf{ \frac{2x}{2} = \frac{32}{2} }](https://tex.z-dn.net/?f=%20%5Csf%7B%20%5Cfrac%7B2x%7D%7B2%7D%20%20%3D%20%20%5Cfrac%7B32%7D%7B2%7D%20%7D)
Calculate
⇒![\sf{x = 16}](https://tex.z-dn.net/?f=%20%5Csf%7Bx%20%3D%2016%7D)
The value of x is 16
Now, let's find value of m<AFD :
( sum of angle in straight line )
plug the value of x
⇒![\sf{m < AFD + 5 \times 16 + 18 = 180}](https://tex.z-dn.net/?f=%20%5Csf%7Bm%20%3C%20AFD%20%2B%205%20%5Ctimes%2016%20%2B%2018%20%3D%20180%7D)
Multiply the numbers
⇒![\sf{m < AFD + 80 + 18 = 180}](https://tex.z-dn.net/?f=%20%5Csf%7Bm%20%3C%20AFD%20%2B%2080%20%2B%2018%20%3D%20180%7D)
Add the numbers
⇒![\sf{m < AFD + 98 = 180}](https://tex.z-dn.net/?f=%20%5Csf%7Bm%20%3C%20AFD%20%2B%2098%20%3D%20180%7D)
Move constant to R.H.S and change it's sign
⇒![\sf{m < AFD = 180 - 98}](https://tex.z-dn.net/?f=%20%5Csf%7Bm%20%3C%20AFD%20%3D%20180%20-%2098%7D)
Subtract 98 from 180
⇒![\sf{m < AFD = 82}](https://tex.z-dn.net/?f=%20%5Csf%7Bm%20%3C%20AFD%20%3D%2082%7D)
Value of m<AFD = 82
Hope I helped!
Best regards!!