18. Find m∠D if m∠A = 2x + 18 and m∠B = 9x – 14.
2 answers:
Answer: The correct option is (C) 130°.
Step-by-step explanation: We are given to find the measure of ∠D from the figure, where
From the figure, we note that ABCD is a parallelogram.
So, AD is parallel to BC and AB acts as a transversal.
Then, the sum of the measures of angles A and B is equal to 180°, since they are interior angles on the same side of the transversal.
That is,
So, the measure of angle B is
We know that the measures of the opposite angles of a parallelogram is 130°, so
the measure of angle D is 130°.
Thus, m∠D = 130°.
Option (C) is CORRECT.
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Answer: The correct option is figure (1).
Explanation:
Reason for correct option:
The figure (1) shows the reflection across the side XY followed by reflection across the side YT.
When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.
After that we reflect the triangle XYT across the side YT and we get the triangle PYT.
Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.
Reason for incorrect options:
The figure (2) shows the rotation of 180 degree along the point y.
The figure (3) shows the reflection across the side XY followed by the translation.
The figure (4) shows the reflection, followed by rotation , followed by translation.
There is no absolute value an absolute value is like this I 2 I
