Answer:
x = 12
Step-by-step explanation:
From the question given above, the following data were obtained:
m < EDG = 112°
m < EDH = 6x – 9
m < HDG = 4x + 1
x =.?
Thus, we can obtain the value of x as shown below:
m < EDG = m < EDH + m < HDG
112 = 6x – 9 + 4x + 1
112 = 6x + 4x – 9 + 1
112 = 10x – 8
Collect like terms
112 + 8 = 10x
120 = 10x
Divide both side by 10
x = 120/10
x = 12
Therefore, the value of x is 12.
