Triangle ABC and triangle DCE are congruent, so line DE = line AB
Use the cosine rule to find angle ACB
![52.2^{2}= 50^{2}+ 70^{2}-(2*50*70*cos(ACB))](https://tex.z-dn.net/?f=%2052.2%5E%7B2%7D%3D%2050%5E%7B2%7D%2B%20%2070%5E%7B2%7D-%282%2A50%2A70%2Acos%28ACB%29%29%20%20%20%20)
![2724.84=7400-(7000cos(ACB))](https://tex.z-dn.net/?f=2724.84%3D7400-%287000cos%28ACB%29%29)
![2724.84-7400=-7000cos(ACB)](https://tex.z-dn.net/?f=2724.84-7400%3D-7000cos%28ACB%29)
![-4675.16=-7000cos(ACB)](https://tex.z-dn.net/?f=-4675.16%3D-7000cos%28ACB%29)
![\frac{4675.16}{7000}=cos(ACB)](https://tex.z-dn.net/?f=%20%5Cfrac%7B4675.16%7D%7B7000%7D%3Dcos%28ACB%29%20)
![Angle ACB= cos^{-1} ( \frac{4675.16}{7000})](https://tex.z-dn.net/?f=Angle%20ACB%3D%20cos%5E%7B-1%7D%20%28%20%5Cfrac%7B4675.16%7D%7B7000%7D%29%20)
Angle ACB = 48.1°
Answer: I think it’s D
Explanation:
Answer:
135°, 63°, 63°, 99°
Step-by-step explanation:
Find attached the diagram used in solving the question.
We would use formula for sum of interior angles to get each exterior angle.
From the diagram, we added additional variables to be able to solve for sum of interior angles.
Sum of angle on a straight line = 180°
a° +15z° = 180°
b° +7z° = 180°
c° +7z° = 180°
d° +11z° = 180°
Where a,b,c and d are interior angles
Sum of interior angles = 180(n-2)
n = number of sides
For quadrilateral, n= 4
a°+b°+c°+d° = 180(n-2)
180-15z +180-7z+180-7z+180-11z = 180(4-2)
720-40z = 180(2)
720 - 360 = 40z
z = 360/40
z = 9
Each exterior angle:
15z = 15×9 = 135°
7z = 7×9 = 63°
7z = 7×9 = 63°
11z = 11×9 = 99°
A square's area is the square of the sides
square area= side²
side=
![\sqrt{96x^5} ](https://tex.z-dn.net/?f=%20%5Csqrt%7B96x%5E5%7D%20%0A)
side=
![\sqrt{2(2)(2)(2)(3)x^2(x)}](https://tex.z-dn.net/?f=%20%5Csqrt%7B2%282%29%282%29%282%29%283%29x%5E2%28x%29%7D%20)
side=
![4x^2 \sqrt{3x}](https://tex.z-dn.net/?f=4x%5E2%20%5Csqrt%7B3x%7D%20)
OR we can divide it
|_
![96x^5](https://tex.z-dn.net/?f=%2096x%5E5)
x²|_
![96x^3](https://tex.z-dn.net/?f=%2096x%5E3)
x⁴|_
![96x](https://tex.z-dn.net/?f=%2096x)
4x⁴|_