Question

Is a parallelogram. Given that m∠=2x/3 and m∠=x/2+10,
find the measure of angle .

Answer 1

To find the measure of angle x in the parallelogram, set up an equation using the given information about the angles and solve for x. The measure of angle x is 12 degrees.

Step-by-step explanation:

To find the measure of angle x in the parallelogram, we need to use the given information about the angles. Let's set up an equation:

m∠A = 2x/3

m∠D = x/2 + 10

Since opposite angles in a parallelogram are congruent, we can set these two equations equal to each other:

2x/3 = x/2 + 10

Multiplying by the LCD of 6 to eliminate the fractions, we get:

4x = 3(x/2 + 10)

Now, we can solve for x:

4x = 3x/2 + 30

8x = 3x + 60

5x = 60

x = 12

So, the measure of angle x is 12 degrees.