I neeed help , can somebody please tell the answer . ?
1 answer:
You might be interested in
Answer:
∠ACB = 38°
Step-by-step explanation:
∠ACB is an inscribed angle while arcAB is its intercepted arc
An inscribed angle is equal to half the length of its intercepted arc
Hence, ∠ACB = 1/2 the measure of arc AB
arc AB = 76°
Hence ∠ACB = 1/2 of 76
76/2 = 38
Therefore ∠ACB = 38°
A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is D.
<h3>What is a parallelogram?</h3>A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
For a parallelogram, the opposite sides are equal and parallel to each other. We can write,
AD ≅ BC
Since BX ≅ DY, therefore, we can write,
AB = CD
AX + XB = DY + YC
XB = DY, cancelling both the sides,
AX = YC.
Also, XY is the common side.
Since all the sides are equal also the angle are equal, therefore, it can be written,
AXDY ≅ CYXB
Given the area of CYXB is 71.5 square units. Therefore,
ABCD = CYXB + AXDY
ABCD = 2(CYXB)
ABCD = 143 square units.
Hence, the correct option is D.
Learn more about Parallelogram:
#SPJ1
