Question

Please please please help me!

Answer 1

Answer:

<76

Step-by-step explanation:

Remark

You can't do this problem unless CD and E are all on the same line. If they are, then you can use || line properties.

Properties

<ABG = x                       Given

<ABG = <BGF               Alternate interior angles are equal.

<BGF = x                       Substitute

x + 2x - 9 = 180             Consecutive angles in a ||gram equal 180 degrees.

3x - 9 = 180                    Add 9 to both sides

3x - 9 +9 = 180 +9

3x = 189                         Divide by 3

x = 63

<DHG = 2x - 50            Given

<DHG = 2*63 - 50         Substitute for x

<DHG = 76

<IDC  = 76

<DHG and <IDC are corresponding angles and are equal; it is a property of parallel lines.