Angle Z is 2 in plus 12 and angle Y is 3 + 18.Find the measure of angle x

Answer 1

To find the measure of angle X, we need to use the fact that the angles in a triangle add up to 180 degrees.

Given that angles Z and Y are already defined, we can find the measure of angle X by subtracting the sum of angles Z and Y from 180 degrees.

Angle Z = 2x + 12
Angle Y = 3x + 18

Sum of angles Z and Y:
2x + 12 + 3x + 18 = 5x + 30

Now, we know that the sum of the three angles in a triangle is 180 degrees. So, we can set up an equation:

5x + 30 + x = 180
6x + 30 = 180
6x = 150
x = 25

Therefore, the measure of angle X is 25 degrees.