m∠A=(4x-10) and m∠D= (2x+22). m∠A+m∠D= 180. What does m∠D equal?
To find the value of m∠D, we need to solve the equation:
m∠A + m∠D = 180
Substituting the given expressions:
(4x-10) + (2x+22) = 180
Simplifying the equation:
6x + 12 = 180
Subtracting 12 from both sides:
6x = 168
Dividing both sides by 6:
x = 28
Now, we can find the value of m∠D by substituting x=28 into the expression for m∠D:
m∠D = 2x + 22
m∠D = 2(28) + 22
m∠D = 56 + 22
m∠D = 78
Therefore, m∠D is equal to 78.