Answer:
about 27.6
Step-by-step explanation:
The sum of interior angles for this rectangle is 1080
119+140+124+6x+132+132+102 = 1080 add like terms
749 + 12x = 1080 subtract 749 from both sides
12x = 331 divide both sides by 12
x = 27.6 approximately
Answer: is that a high school math it looks hard to me
Step-by-step explanation??
Answer:
![\frac{BE}{EC} =\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BBE%7D%7BEC%7D%20%3D%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
In the diagram below we have
ABCD is a parallelogram. K is the point on diagonal BD, such that
![\frac{BK}{CK} =\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7BBK%7D%7BCK%7D%20%3D%5Cfrac%7B1%7D%7B4%7D)
And AK meets BC at E
now in Δ AKD and Δ BKE
∠AKD =∠BKE ( vertically opposite angles are equal)
since BC ║ AD and BD is transversal
∠ADK = ∠KBE ( alternate interior angles are equal )
By angle angle (AA) similarity theorem
Δ ADK and Δ EBK are similar
so we have
![\frac{AD}{BE} =\frac{DK}{BK}](https://tex.z-dn.net/?f=%5Cfrac%7BAD%7D%7BBE%7D%20%3D%5Cfrac%7BDK%7D%7BBK%7D)
![\frac{AD}{BE} =\frac{4}{1}](https://tex.z-dn.net/?f=%5Cfrac%7BAD%7D%7BBE%7D%20%3D%5Cfrac%7B4%7D%7B1%7D)
( ABCD is parallelogram so AD=BC)
( BC= BE+EC)
![\frac{BE}{BE} +\frac{EC}{BE}=\frac{4}{1}](https://tex.z-dn.net/?f=%5Cfrac%7BBE%7D%7BBE%7D%20%2B%5Cfrac%7BEC%7D%7BBE%7D%3D%5Cfrac%7B4%7D%7B1%7D)
![1+\frac{EC}{BE}=4](https://tex.z-dn.net/?f=1%2B%5Cfrac%7BEC%7D%7BBE%7D%3D4)
( subtracting 1 from both side )
![\frac{EC}{BE}=\frac{3}{1}](https://tex.z-dn.net/?f=%5Cfrac%7BEC%7D%7BBE%7D%3D%5Cfrac%7B3%7D%7B1%7D)
taking reciprocal both side
![\frac{BE}{EC} =\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7BBE%7D%7BEC%7D%20%3D%5Cfrac%7B1%7D%7B3%7D)
Answer:
Part 1) The value of x is 50°
Part 2) The measure of angle LOK is 114°
Option C
Step-by-step explanation:
we know that
if two angles are supplementary, then their sum is equal to 180 degrees
so
(x+64)°+66°=180°
solve for x
x+130°=180°
x=180°-130°=50°
Find the measure of angle LOK
∠LOK=(x+64)°
∠LOK=(50+64)°=114°