In the diagram, m∠A=(4x−10)° and m∠D=(2x+22)°. What is the measure of ∠D?
We know that the sum of the measures of the angles in a triangle is 180 degrees.
Therefore, m∠D + m∠A + m∠C = 180.
Substituting the given values, we get (2x+22) + (4x-10) + m∠C = 180.
Combining like terms, we get 6x + 12 + m∠C = 180.
Subtracting 12 from both sides, we get 6x + m∠C = 168.
Since the measure of ∠C is not given, we cannot determine the exact measure of ∠D.