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klaytminecraft
01.04.2021 •
Mathematics
What is the value of x in the figure
below?
PLEASE Help
Solved
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Ответ:
C) x = 50°
Step-by-step explanation:
In this figure, you can find x by first finding the three angles of the triangle and then applying the Vertical Angle Theorem. First, you need to find the angle in the top right. You can do this by subtracting 95 from 180 since 95 and the missing angle are supplementary:
180 - 95 = 85°
Now, you know two of the angles in the triangle: 85° and 45°. The angles of a triangle add up to 180°; you can use this knowledge to find the triangle's third angle:
85 + 45 + t = 180 (where t is third angle)
130 + t = 180
t = 50°
Now that you know the measure of the third angle, you can apply the Vertical Angles Theorem to find x. The Vertical Angles Theorem states that if two lines intersect, the vertical angles are equal. x is the vertical angle pair for the 50° angle, and therefore x must equal 50°.
Ответ:
Hey there!
To solve this, we can use the linear pair theorem for the 95 degree angle and the missing angle next to it. That gives us 85.
Next, we can use the angles sum theorem for a triangle, and solve for the angle across from x. That gives us 50.
Lastly, we can use the vertical angles theorem, which shows us that x is equal to the angle opposite from it, or 50.
For more information see
Have a terrificly amazing day! :D
Ответ:
x+4x+x-7= 137
combine like terms
6x-7=137
isolate the variable by adding 7 to both sides
6x=144
divide
x=24
but remember, tin c is x-7 so plug the 24 in, and the answer is 17.