Answer :
The required simplified value of the x is given as 5.
Given that,
In triangle DEF, if m∠D = (2x)°, m∠E = (2x − 4)°, and m∠F = (x + 9)°.
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
for the triangle sum of the interior angles is equal to 180°.
∠D + ∠E + ∠F = 180
2x + 2x - 4 + x + 9 = 180
5x + 5 = 180
5x = 175
x = 35
Thus, the required simplified value of the x is given as 5.
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Final answer:
To find the value of x in triangle DEF, we can use the angle sum property of a triangle and set up an equation. Solving this equation, we get x = 35.
Explanation:
To find the value of x, we can set up an equation using the angle sum property of a triangle. The sum of the interior angles of a triangle is always 180 degrees. So, we can write the equation:
(2x) + (2x - 4) + (x + 9) = 180
Simplifying the equation, we get:
5x + 5 = 180
Subtracting 5 from both sides of the equation:
5x = 175
Dividing both sides of the equation by 5:
x = 35
Therefore, the value of x is 35.
Learn more about Finding the value of x in a triangle here:
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