Question

M 30 degrees 9x-10 10x+10

Answer 1

Answer:

m∠W = 80°

Step-by-step explanation:

To find m∠W, remember that:

One exterior angle of a triangle is equal to the sum of the other two interior angles.

Now apply this information.

Notice that point U has an exterior angle. It will be equivalent to the sum of m∠V and m∠W, or in algebraic from: U = m∠V + m∠W

Substitute the information we know.

U = m∠V + m∠W

10x + 10 = 30 + 9x - 10          Simplify the right side's like terms.

10x + 10 = 20 + 9x          Isolate "x"

10x - 9x + 10 = 20 + 9x - 9x          Subtract 9x from both sides

10x - 9x + 10 = 20          9x cancels out on the right side

x + 10 = 20          Simplified left side, 10x - 9x = x

x + 10 - 10 = 20 - 10          Subtract 10 from both sides

x = 20 - 10          "x" is isolated. Simplify right side.

x = 10          Solved for "x"

To find m∠W, substitute the value of "x" into the equation of its angle.

m∠W = 9x - 10

m∠W = 9(10) - 10          Multiply 9 and 10, then subtract 10 from the product.

m∠W = 80

Write with the units, degrees symbol °

Therefore the measure of ∠W is 80°.