Answer: Option B (2x=28°, x=14°)
Step-by-step explanation: 2x+44° = 72°
<u><em>Let the point of intersection be O</em></u>
∠O = 180° - (28°+44°)
180°-72° = 108°
∴ As we know that 2x+44=72°
2x= 72-44
2x=28°
∴x=28/2 = 14°
Therefore the correct answer is Option B (2x=28°, x=14°)
Answer is b hope it helps
Hi there! :)

Find the perimeter by solving for y.
We know that a rectangle contains two pairs of parallel and congruent sides, therefore:
5y - 1 = 2y + 8
We can solve for y using this expression. Begin by subtracting 2y from both sides:
5y - 2y - 1 = 2y - 2y + 8
3y - 1 = 8
Add 1 to both sides:
3y - 1 + 1 = 8 + 1
3y = 9
Divide both sides by 3:
y = 3
Recall that the perimeter of a rectangle is:
P = 2l + 2w
Plug in the given expressions for the side lengths to find one equation:
P = 2(5y - 1) + 2(y - 1)
Simplify by distribution:
P = 10y - 2 + 2y - 2
Combine like terms:
P = 12y - 4
Plug in the solved value of y into this equation:
P = 12(3) - 4
P = 36 - 4
P = 32 cm.
∆ABD is right angled hence area:-




There is only one option containing 6x^2 i.e Option D.
Hence without calculating further
Option D is correct