Angle A and Angle B are vertical angle pairs. The measure of angle A and B are equal because they are vertical pairs. Therefore, the measure of each angle is 6 degrees.
<h3>What is vertical angles?</h3>
Vertical angles are a pair of opposite angles formed by intersecting lines.
Vertical angles are congruent to each other . Vertical angles share the same vertex.
Therefore, angle A and angle B are congruent because they are vertical angle pair.
Therefore,
∠A≅∠B
let
∠B = x
Therefore,
∠A = 2x - 6
Therefore,
x = 2x - 6
x - 2x = - 6
-x = - 6
x = 6
The measure of each angle is 6 degrees.
learn more on vertical angles here: brainly.com/question/14753399
I believe its 11 horses and 6 ducks 4x11= 44 and 6x2=12 44+12=56 , hope I helped.
Answer:
volume= length×breadth×height
v= 11×2×3
therefore v= 66cm cube
The slope of a line characterizes the direction of a line.
Answer: AH = 24 unit
Step-by-step explanation:
Since, in triangles ABC and BHC,
( Right angles)
( Reflexive )
Hence, By AA similarity postulate,
![\triangle ABC\sim\triangle BHC](https://tex.z-dn.net/?f=%5Ctriangle%20ABC%5Csim%5Ctriangle%20BHC)
By the property of similar triangle,
![\frac{AC}{BC} = \frac{BC}{HC}](https://tex.z-dn.net/?f=%5Cfrac%7BAC%7D%7BBC%7D%20%3D%20%5Cfrac%7BBC%7D%7BHC%7D)
![AC = BC\times \frac{BC}{HC}](https://tex.z-dn.net/?f=AC%20%3D%20BC%5Ctimes%20%5Cfrac%7BBC%7D%7BHC%7D)
![AC = \frac{BC^2}{HC}](https://tex.z-dn.net/?f=AC%20%3D%20%5Cfrac%7BBC%5E2%7D%7BHC%7D)
Here, BC = 9 unit and HC = 3 unit,
![AC = \frac{9^2}{3}=\frac{81}{3}=27](https://tex.z-dn.net/?f=AC%20%3D%20%5Cfrac%7B9%5E2%7D%7B3%7D%3D%5Cfrac%7B81%7D%7B3%7D%3D27)
Since, by the below diagram,
AH = AC - HC
AH = 27 - 3
AH = 24 unit