Answer:
The solution in the attached figure
Step-by-step explanation:
see the attached figure with letters to better understand the problem
Part 1) Find the measure of angle A
we know that
------> by supplementary angles
so
Part 2) Find the measure of angle B
we know that
------> by vertical angles
Part 3) Find the measure of angle C
we know that
------> by vertical angles
so
Part 4) Find the measure of angle D
we know that
------> by corresponding angles
so
Part 5) Find the measure of angle E
we know that
------> by supplementary angles
so
Part 6) Find the measure of angle F
we know that
------> by vertical angles
so
Part 6) Find the measure of angle G
we know that
------> by vertical angles
so
The alternate interior angles to 137° are also 137°, the corresponding angles are 117°, and the supplementary angles are 43°.
The image shows a pair of parallel lines that are cut by a transversal. Since the parallel lines are cut by a transversal, we can use the following angle relationships:
Alternate interior angles are equal.
Corresponding angles are equal.
Supplementary angles add up to 180 degrees.
Label the given angle
The given angle is labeled 137°.
Label the alternate interior angles
The alternate interior angles to the given angle are also 137°. .
Therefore, we can label the following angles 137°:
The angle opposite the given angle
The angle to the right of the given angle, on the same side of the transversal
Label the corresponding angles
The corresponding angles to the given angle are equal to 117°.
Therefore, we can label the following angles 117°:
The angle above the given angle, on the same side of the transversal
The angle to the left of the given angle, on the opposite side of the transversal.
Label the supplementary angles
The supplementary angles to the 137° angles are equal to 43°.
Therefore, we can label the following angles 43°:
The angle above the 137° angle, on the opposite side of the transversal
The angle to the left of the 117° angle, on the same side of the transversal
Label the remaining angles
The remaining angles are equal to 53°.
Therefore, we can label the following angles 53°:
The angle to the right of the 117° angle, on the opposite side of the transversal
The angle below the 43° angle, on the same side of the transversal
The final image, with all of the angles labeled, is shown below:
For similar question on alternate interior angles.
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41
42
43
Answer:
3rd answe; 42
Step-by-step explanation: