Answer:
Option 4: <u>(2x + 16)° + (x)° = 180°</u>
Step-by-step explanation:
See the attached figure.
For a quadrilateral inscribed in a circle
The opposite angles are supplementary.
So, ∠D + ∠B = 180°
From the figure:
∠B = x° and ∠D = (2x+16)°
∴ <u>(2x + 16)° + (x)° = 180°</u>
Answer:
Please check the explanation.
Step-by-step explanation:
<u>Determining the length of BC</u>
From the diagram, it is clear that
Since points A and C are located on a horizontal straight line. Thus, the length of BC can be determined by counting the x-axis units from reaching x = -8 to x = 8. i.e. 8-(-8) = 8+8 = 16
Thus, the length of BC = 16 units
<u>Determining the length of CD</u>
Given
The distance between C(8, 10) and D(2, -2)
Thus, the length of CD units
<u>Determining the length of ED</u>
Given
The distance between E(-8, -4) and D(2, -2)
Thus, the length of ED units
<u>Determining the length of EB</u>
From the diagram, it is clear that
Since points E and B are located on a vertical straight line. Thus, the length of EB can be determined by counting the y-axis units from reaching y = -4 to y = 10. i.e. 10-(-4) = 10+4 = 14
Thus, the length of EB = 14 units
