9514 1404 393
Answer:
x = 115
Step-by-step explanation:
The sum of angles in a hexagon is 720°.
x +118 +90 +112 +131 +154 = 720
x = 115 . . . . . . . subtract 605
The angle congruent to ∠CGD is the angle ∠AGF as they are vertical angles.
6.8,6.827,6.86,6.9
1.2,1.203,12.03, 12.301,12.31
Answer:
x = 8*root3
y = 16
Step-by-step explanation:
You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:
the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!
Another shortcut:
The longer leg is the shorter leg × root3.
This ALWAYS works on 30°-60°-90° triangles.
So on your triangle, the short side is 8, that means the longer leg is 8×root3.
ta-daaaa!
