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VARVARA [1.3K]
3 years ago
13

3a2 + 16a + 5 a2 – 7a + 10

Mathematics
1 answer:
schepotkina [342]3 years ago
6 0
This is thw answer:


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3 years ago
In the given figure, find m∠RST, if m∠RSU = 43º and m∠UST = 23º.
pickupchik [31]

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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