Answer:
120 degrees
Step-by-step explanation:
This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:
2x + x + 2x + x = 360
Combine like terms and solve for x:
6x = 360
x = 360/6 = 60
<BCD = 2x = 2 * 60 = 120
Thus, the answer is 120 degrees.
Hope this helps!
Answer:
7x^2+2x-4
Step-by-step explanation:
a standard form is ax+by=c
5x^2 add 2x^2=7x^2 then -2x but when you have a -10 +6 you get -4 giving you the answer of 7x^2 +2x -4
Answer:
(
,
)
Step-by-step explanation:
For this you use the midpoint formula

the points would be (2,1) and (5,2)
The midpoint would be (
,
)
In general, the sum of the measures of the interior angles of a quadrilateral is 360. This is true for every quadrilateral. This does not help here, because there are two angles (angles B and D) we know nothing about. We only know about opposite angles A and C.
In this case, you can use another theorem.
Opposite angles of an inscribed quadrilateral are supplementary.
m<A + m<C = 180
3x + 6 + x + 2 = 180
4x + 8 = 180
4x = 172
x = 43
m<A = 3x + 6 = 3(43) + 6 = 135
Answer: 135 deg