Answer:
The area is:
Step-by-step explanation:
Area of this figure is simply the product of the base and the height, as it just happens to be a slanted or inclined rectangle.
Therefore:
∠ABF and ∠CBE are vertical angles
3x + 25 + 7x - 19 = 10x - 6
Set them equal to each other
∠ABF = ∠CBE
6x + 26 = 10x - 6
Isolate the x. Subtract 6x from both sides and add 6 to both sides
6x (-6x) + 26 (+6) = 10x (-6x) - 6 (+6)
26 + 6 = 10x - 6x
Simplify
32 = 4x
Divide 4 from both sides
32/4 = 4x/4
x = 32/4
x = 8
m∠ABF = 6x + 26
Plug in 8 for x
6(8) + 26 = m∠ABF
48 + 26 = m∠ABF
m∠ABF = 74°
74° is your answer for m∠F
hope this helps
Answer:
⏩14°
Step-by-step explanation:
As we can see the opposite sides are equal and the opposite angles are equal so it is a parallelogram. Hence
5x = 70° { opposite angles of a parallelogram are equal }
x = 14°
Hope it will help :)⏩❤
