To find the measure of ∠D, we need to set the equation m∠D = 2x + 22 equal to the given information.
So, we have:
2x + 22 = m∠D
Since m∠D = (2x + 22)°, we can substitute the value of m∠D into the equation:
2x + 22 = (2x + 22)°
Now we can solve for x:
2x + 22 = 2x + 22
2x = 2x
0 = 0
Since the equation is always true, this means that the measure of ∠D = m∠D = (2x + 22)° can be any value. Therefore, the measure of ∠D cannot be determined from the given information.
Use the image to answer the question.
An illustration shows intersecting lines and rays. The resulting angles are labeled. A vertical line is intersected by an upward slanting line from left to right. A downward slanting ray extends from the point where the lines intersect to the bottom right. Starting from the top part of the vertical line, the first angle betwee the vertical line and the slanting line is labeled A. Moving clockwise, next angle is labeled Angle B, then Angle C, then Angle D, and then Angle E. All of the angles have degree signs next to their labels, but they do not have degree measurements.
In the diagram, m∠A=(4x−10)° and m∠D=(2x+22)° . What is the measure of ∠D ?
(1 point)
°
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1 answer
1 answer