Answer:
Part 1) The measure of arc EHL is ![108\°](https://tex.z-dn.net/?f=108%5C%C2%B0)
Part 2) The measure of angle LVE is ![54\°](https://tex.z-dn.net/?f=54%5C%C2%B0)
Step-by-step explanation:
step 1
Let
x-----> the measure of arc EHL
y----> the measure of arc EVL
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so
![m](https://tex.z-dn.net/?f=m%3CEYL%3D%5Cfrac%7B1%7D%7B2%7D%28y-x%29)
we have
![m](https://tex.z-dn.net/?f=m%3CEYL%3D72%5C%C2%B0)
substitute
![72\°=\frac{1}{2}(y-x)](https://tex.z-dn.net/?f=72%5C%C2%B0%3D%5Cfrac%7B1%7D%7B2%7D%28y-x%29)
------> equation A
Remember that
-----> equation B ( complete circle)
substitute equation A in equation B and solve for x
![x+(144\°+x)=360\°](https://tex.z-dn.net/?f=x%2B%28144%5C%C2%B0%2Bx%29%3D360%5C%C2%B0)
![2x=360\°-144\°](https://tex.z-dn.net/?f=2x%3D360%5C%C2%B0-144%5C%C2%B0)
![x=216\°/2=108\°](https://tex.z-dn.net/?f=x%3D216%5C%C2%B0%2F2%3D108%5C%C2%B0)
Find the value of y
![y=144\°+x](https://tex.z-dn.net/?f=y%3D144%5C%C2%B0%2Bx)
![y=144\°+108\°=252\°](https://tex.z-dn.net/?f=y%3D144%5C%C2%B0%2B108%5C%C2%B0%3D252%5C%C2%B0)
therefore
The measure of arc EHL is ![108\°](https://tex.z-dn.net/?f=108%5C%C2%B0)
The measure of arc EVL is ![252\°](https://tex.z-dn.net/?f=252%5C%C2%B0)
step 2
Find the measure of angle LVE
we know that
The inscribed angle measures half that of the arc comprising
Let
x-----> the measure of arc EHL
![m](https://tex.z-dn.net/?f=m%3CLVE%3D%5Cfrac%7B1%7D%7B2%7D%28x%29)
we have
![x=108\°](https://tex.z-dn.net/?f=x%3D108%5C%C2%B0)
substitute
![m](https://tex.z-dn.net/?f=m%3CLVE%3D%5Cfrac%7B1%7D%7B2%7D%28108%5C%C2%B0%29%3D54%5C%C2%B0)
Answer:
2
Step-by-step explanation:
The base B represents the number you multiply and the exponent "x" tells you how many times you multiply the base, and you write it as "B^ x." For example, 8^3 is 8X8X8=512 where "8" is the base, "3" is the exponent and the whole expression is the power.
Answer:
hey there!!!
Step-by-step explanation:
i think the best option is acute and isosceles from my view
hope it helps you...
2.5 rounds up to 3. Because the digit after the decimal point is 5 or more.
Answer:
x=12 the other answer is 144.
Step-by-step explanation:
You set the expressions equal to each-other which gives you what x equals. then you substitute that in the A expression which gives you 144