Question

Solve for the measure of angle P:

A) P = (3x + 4)°
B) P = (2x + 1)°
C) P = (6x - 7)°
D) P = 180° - (3x + 4)°

Answer 1

To solve for angle P, substitute the value of x into the given equation. Use equations A, B, and C to find the value of x. Simplify equation D by subtracting the angle measure from 180 degrees.

Step-by-step explanation:

To solve for the measure of angle P, we need to find the value of x and substitute it into the given equation.

Let's take option A) P = (3x + 4)° as an example.

1. Set the equation equal to the given angle measure: (3x + 4)° = P
2. Set the equation equal to 180 degrees: (3x + 4)° = 180° - P
3. Solve for x by isolating it in the equation.
4. The value of x will depend on the given angle measure P.

Repeat the above steps for options B) P = (2x + 1)° and C) P = (6x - 7)° to find the values of x for each equation.

Option D) P = 180° - (3x + 4)° can be simplified by subtracting the angle measure from 180 degrees.