Question

Find m<Y
the shape shows a triangle angle x has an equation of (6x-23) and angle y has an equation of (4x+9)
answer choices

34

73


16


32

Answer 1

To find m<Y, you need to solve for the value of x and substitute it into the equation for angle y.

Given that angle x has an equation of (6x-23) and angle y has an equation of (4x+9), we need to find the value of x.

Set the equations equal to each other:
6x-23 = 4x+9
Subtract 4x from both sides:
2x - 23 = 9
Add 23 to both sides:
2x = 32
Divide both sides by 2:
x = 16

Now that we have the value of x, substitute it into the equation for angle y:
y = 4(16) + 9
y = 64 + 9
y = 73

Therefore, m<Y = 73.