Question

In ΔUVW, m∠U = (x + 11)°, m∠V = (4x - 10)°, and m∠W = (9x + 11)°. Find m∠U.

Answer 1

23 degrees

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Use the fact that the sum of the angles in a triangle is 180 degrees.

We can set up the equation:

• (x + 11) + (4x - 10) + (9x + 11) = 180

Combining like terms, we get:

• 14x + 12 = 180

Subtracting 12 from both sides, we have:

• 14x = 168

Dividing both sides by 14, we get:

• x = 12

Now substitute x = 12 back into the expression for m∠U:

• m∠U = (12 + 11) = 23 degrees