m∠A = (4x - 10)°
m∠D = (2x + 22)°
Since the sum of the angles in a triangle is 180°, we can write:
m∠A + m∠B + m∠D = 180°
Substituting the given values, we get:
(4x - 10) + m∠B + (2x + 22) = 180
Combining like terms:
6x + 12 + m∠B = 180
Subtracting 12 from both sides:
6x + m∠B = 168
At this point, we cannot determine the exact measure of ∠D without additional information about ∠B.
In the diagram, m∠A=(4x−10)° and m∠D=(2x+22)° . What is the measure of ∠D ? (1 point)
1 answer