Answer:
17. The value of x= 11
and ∠AEC = 40°
Explanation:
16.
Given : 32 = 2x + 4y , and x = 2
Substitution Property :
putting the value of x = 2 in the equation
=> 32 = 2(2) + 4y
=> 32 = 4 + 4y
Subtraction property of equality :
subtracting 4 from both sides
=> 32-4 = 4-4 + 4y
=> 28 = 4y
Division property of equality :
dividing by 4 from both sides
=> 28/4 = 4y/4
=> 7 = y
17.
∠AEC = ∠BED { vertically opposite angles }
=> 5x - 15 = 3x + 7
=> 5x - 3x = 7 + 15
=> 2x = 22
=> x = 22/2
=> x = 11
∠AEC = 5x - 15
=> 5 (11 ) - 15
=> 55 - 15
=> 40