Answer:
∠ADB = γ/2 +90°
Step-by-step explanation:
Here's one way to show the measure of ∠ADB.
∠ADB = 180° - (α + β) . . . . . sum of angles in ΔABD
∠ADB + (2α +β) + γ + (2β +α) = 360° . . . . . sum of angles in DXCY
Substituting for (α + β) in the second equation, we get ...
∠ADB + 3(180° - ∠ADB) + γ = 360°
180° + γ = 2(∠ADB) . . . . . . add 2(∠ADB)-360°
∠ADB = γ/2 + 90° . . . . . . . divide by 2
_____
To find angles CXD and CYD, we observe that these are exterior angles to triangles AXB and AYB, respectively. As such, those angles are equal to the sum of the remote interior angles, taking into account that AY and BX are angle bisectors.
The correct answer is A. Each of the y values are 4 times their respective x values
Answer:
The sum of three consecutive integers for 198 are <em>65, 66, and 67</em>
Definition of "INTEGERS"
1. a whole number; a number that is not a fraction.
2. a thing complete in itself.
Step-by-step explanation:
198 = x + x + 1 + <em>x + 2</em>
combine like numbers
198 = 3x + 3
subtract 3 from like numbers (in this case)
198 - 3 = 3x + 3 - 3
195 = 3x
divide by 3
195/3 = 3x/3
65 = x
x + 1 = 65 + 1 ---66
x + 2 = 65 +2 --67
The answer is c. 7•2= 14, then 7+7= 14+2= 16+2= 18
Answer:
there are 2 right angles
Step-by-step explanation: