Question

Triangle def, if m∠d = (4x)°, m∠e = (2x − 3)°, and m∠f = (x 8)°, what is the value of x?

Answer 1

To find the value of x in triangle DEF, set up an equation using the given angle measurements and solve for x.

Step-by-step explanation:

To find the value of x in triangle DEF, we can set up an equation using the given angle measurements. The sum of the angles in a triangle is always 180°, so we have the equation:

(4x)° + (2x - 3)° + (x + 8)° = 180°

Simplifying the equation gives:

7x + 5 = 180

Subtracting 5 from both sides gives:

7x = 175

Dividing both sides by 7 gives:

x = 25