Answer:
Row 1: 3.5
Row 2: 35
Row 3: Both
Step-by-step explanation:
The sum of ∠YAB and ∠BAZ is 90°, so we can formulate the following equation:
m∠YAB + m∠BAZ = 90
(16x - 1) + (8x + 7) = 90
So, solving for x, we get:
16x - 1 + 8x + 7 = 90
24x + 6 = 90
24x + 6 - 6 = 90 - 6
24x = 84
24x/24 = 84/24
x = 3.5
Then, the value of x is 3.5
Therefore, the m m∠BAZ = 8x + 7
m∠BAZ = 8(3.5) + 7
m∠BAZ = 28 + 7
m∠BAZ = 35
So, m∠BAZ is 35.
Finally, the m∠XAB can be calculated as the sum of ∠XAY and ∠YAB, so:
m∠XAB = m∠XAY + m∠YAB
m∠XAB = 90 + (16x - 1)
m∠XAB = 90 + 16(3.5) - 1
m∠XAB = 90 + 56 - 1
m∠XAB = 145
So, both angles measures are accurate, m