Answer:
h = 125
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
h = 63 + 62 = 125
Answer:
<h2>P = 60</h2>
Step-by-step explanation:
The formula of a distance between two points:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
X(-3, -6), Y(21, -6). Substitute:
![XY=\sqrt{21-(-3))^2+(-6-(-6))^2}=\sqrt{24^2+0^2}=\sqrt{24^2}=24](https://tex.z-dn.net/?f=XY%3D%5Csqrt%7B21-%28-3%29%29%5E2%2B%28-6-%28-6%29%29%5E2%7D%3D%5Csqrt%7B24%5E2%2B0%5E2%7D%3D%5Csqrt%7B24%5E2%7D%3D24)
X(-3, -6), Z(21, 4). Substitute:
![XZ=\sqrt{(21-(-3))^2+(4-(-6))^2}=\sqrt{24^2+10^2}=\sqrt{576+100}=\sqrt{676}=26](https://tex.z-dn.net/?f=XZ%3D%5Csqrt%7B%2821-%28-3%29%29%5E2%2B%284-%28-6%29%29%5E2%7D%3D%5Csqrt%7B24%5E2%2B10%5E2%7D%3D%5Csqrt%7B576%2B100%7D%3D%5Csqrt%7B676%7D%3D26)
Y(21, -6), Z(21, 4). Substitute:
![YZ=\sqrt{(21-21)^2+(4-(-6))^2}=\sqrt{0^2+10^2}=\sqrt{10^2}=10](https://tex.z-dn.net/?f=YZ%3D%5Csqrt%7B%2821-21%29%5E2%2B%284-%28-6%29%29%5E2%7D%3D%5Csqrt%7B0%5E2%2B10%5E2%7D%3D%5Csqrt%7B10%5E2%7D%3D10)
The perimeter of the triangle XYZ:
![P_{\triangle XYZ}=XY+XZ+YZ](https://tex.z-dn.net/?f=P_%7B%5Ctriangle%20XYZ%7D%3DXY%2BXZ%2BYZ)
Substitute:
![P_{\triangle XYZ}=24+26+10=60](https://tex.z-dn.net/?f=P_%7B%5Ctriangle%20XYZ%7D%3D24%2B26%2B10%3D60)
As we can observe,
Angle x and 40° forms a linear pair.
so,
x+40 = 180
x = 140°
Measure of Angle x will be 140°.
!! Hope It Helps !!