Fnd the mesure of the givin angles A=x+18 , D=2x
To find the measure of angles A and D, we first need to set up an equation based on the given information.
Since angle A = x + 18 and angle D = 2x, we can set up the equation:
A + D = 180
Substitute the given expressions for angles A and D into the equation:
(x + 18) + (2x) = 180
Combine like terms:
3x + 18 = 180
Subtract 18 from both sides:
3x = 162
Divide by 3 to solve for x:
x = 54
Now that we have found the value for x, we can find the measure of angles A and D:
Angle A = x + 18 = 54 + 18 = 72 degrees
Angle D = 2x = 2(54) = 108 degrees
Therefore, the measure of angle A is 72 degrees and the measure of angle D is 108 degrees.