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

Question

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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.