Applying the angle addition postulate, the measure of angle RST is: 66°.
<h3>What is the Angle Addition Postulate?</h3>
If two angles share a common vertex and a common side, they are adjacent angles that form a larger angle. According to the angle addition postulate, the sum of these two adjacent angles will give a sum that is equal to the measure of the larger angle they both form.
We know the following:
Measure of angle RSU = 43º
Measure of angle UST = 23º
In the diagram given, angle RSU and angle UST are adjacent angles that form a larger angle, angle RST.
Therefore, based on the angle addition postulate, the measure of angle RST = sum of the measures of angles RSU and UST.
Therefore, we would have:
m∠RST = m∠RSU + m∠UST
Substitute
m∠RST = 43 + 23
m∠RST = 66°
Learn more about the angle addition postulate on:
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Answer:
Step 1: Make sure the bottom numbers (the denominators) are the same
Step 2: Add the top numbers (the numerators), put that answer over the denominator
Step 3: Simplify the fraction (if needed)
Step-by-step explanation:
A translation is when a triangle moves from one location to another while staying the same size/position.
A rotation is when it changes positions, like it can turn upside down or to the side.
A reflection is when it translates over the x or y axis.
Option 1. Incorrect because if 0 is added to 4 and then 2 is subtracted, it will not greater or equal to 6
option 2. Correct because if 4 or is added to negative 12 or less and then turned into the absolute value and the 2 is subtracted then it will be greater than 6. if there is 4 or more that also works, because 4 plus 4 is 8 and the subtracted 2 is six, everything greater is also valid so option to is the correct answer
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