m/JHI =(2x+7)° and m/GHI = (8x - 2)° and m/JHG= 65°. Find m/JHI and m/GHI
Answers
The value of m/JHI and m/GHI is angle 19 and 46.
What is angle ?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. Dihedral angles are these.
[tex]\begin{aligned}2 x+7+8 x-2 & =65 \\10 x+5 & =65 \\10 x & =60 \\x & =6\end{aligned}[/tex]
m/JHI =(2x+7) = (2* 6+7)=12+7=19.
m/GHI = (8x - 2)° = (8*6-2)=48-2=46
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Step-by-step explanation:
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Step-by-step explanation:
Hello There!
We can find the value of y using trigonometry
These are the trigonometric ratios
Remember SOHCAHTOA
Sine = Opposite over Hypotenuse
Cosine = Adjacent over Hypotenuse
Tangent = Opposite over Adjacent
For the angle that has a measure of 27 degrees
we are given its adjacent angle and we need to find its opposite angle (y)
Adjacent and Opposite sides corresponds with the trigonometric ratio Tangent so we are going to use the trigonometric ratio tan to solve for y
Now we set up an equation (remember tangent = opposite over adjacent)
[tex]tan(27)=\frac{y}{350}[/tex]
Now that we have created an equation we want to solve for y
What we want to do is isolate the variable using inverse operations
So basically we want to get rid of the 350
The opposite of division is multiplication so we multiply each side by 350 to get rid of it
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