Answer:
x = 10°
Step-by-step explanation:
a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"
Therefore, in cyclic quadrilateral ABDE,
m∠ABD + m∠AED = 180°
110° + m∠AED = 180°
m∠AED = 180° - 110°
= 70°
b). AD = ED [Given]
m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]
m∠EAD = m∠AED = 70°
By triangle sum theorem in ΔABD,
m∠BAD + m∠ABD + m∠ADB = 180°
m∠BAD + 110° + 40° = 180°
m∠BAD = 180 - 150
= 30°
m∠AEB = m∠AED + m∠DAB [By angles addition postulate]
m∠AEB = 70° + 30°
= 100°
By triangle sum theorem in the large triangle,
x° + m∠AEB + m∠EAB = 180°
x° + 100° + 70° = 180°
x = 180 - 170
x = 10°
To see how they are related, let us solve the two equations.
FIRST EQUATION
![m + 5 = 72](https://tex.z-dn.net/?f=m%20%2B%205%20%3D%2072)
![\rightarrow \: m = 72 - 5](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5C%3A%20m%20%3D%2072%20-%205)
![\rightarrow \: m = 67](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5C%3A%20m%20%3D%2067)
SECOND EQUATION
![m + 72 = 5](https://tex.z-dn.net/?f=m%20%2B%2072%20%3D%205)
![\rightarrow \: m = 5 - 72](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5C%3A%20m%20%3D%205%20-%2072)
![\rightarrow \: m = - 67](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5C%3A%20m%20%3D%20-%2067)
Hence the solutions to the two equations are ADDITIVE INVERSE of each other.
Answer:
see below (I hope this helps!)
Step-by-step explanation:
Square roots are usually in the form a√b where a and b are any rational number.
You could do x=81 with the little line on the top (represents the number going on forever, and example is 0.818181818181818181818181818818181818 etc.)