Angle x is (2n + 12)°, and angle y is (3n + 18)° . Find the measure of angle x.

Question

Angle x is (2n + 12)°, and angle y is (3n + 18)° . Find the measure of angle x.

Note: not drawn to scale.

Answer 1

To find the measure of angle x, we need to know the value of n. Without more information, we cannot determine the exact measure of angle x.

We can however simplify the expressions for angles x and y:

Angle x = (2n + 12)°
Angle y = (3n + 18)°

We can use the fact that angles x and y are supplementary (they add up to 180 degrees) to set up an equation:

Angle x + Angle y = 180°

Substituting the expressions for angles x and y:

(2n + 12)° + (3n + 18)° = 180°

Simplifying:

5n + 30 = 180

Subtracting 30 from both sides:

5n = 150

Dividing by 5:

n = 30

Now that we know the value of n, we can find the measure of angle x:

Angle x = (2n + 12)° = (2(30) + 12)° = 72°

Therefore, the measure of angle x is 72 degrees.

Answer 2

To determine the measure of angle x, we need to find the value of n.

Given that angle x is (2n + 12)°, we can equate this angle to a known value. However, we need more information to solve for n.

Is there any additional information or constraints provided for angle x or angle y?

Answer 3

To find the measure of angle x, we need to substitute the given expression for n into the equation (2n + 12)° and simplify. However, since no value is given for n in the problem, we can't determine the specific measure of angle x. All we can do is express it in terms of n.