Fnd the mesure of the givin angles A=x+18 , D=2x

Answer 1

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.