Find the value of...

Question

Answer 1

Remember that two adjacent interior angles of a parallelogram sum to 180 degrees.

We can use this fact to write the following two equations

Let h be the angle of the vertex h

3x - 40 + h = 180

2x + 10 + h = 180

We can solve one equation for x, and then substitute that value into the other equation to find h = 70

Since h = 70, we can plug this into one of the equations to find the value of x,

3x - 40 + h = 180

3x - 40 + 70 = 180

3x + 30 = 180

3x = 150

x = 50

Since x = 50, we know the the angle of g is

3x - 40 = 3(50) - 40 = 150 - 40 = 110 degrees