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1 year ago

In the given figure, find m∠RST, if m∠RSU = 43º and m∠UST = 23º.

Mathematics

1 answer:

pickupchik [31]1 year ago

8 0

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:

brainly.com/question/24746945

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Step-by-step explanation:

To find the divisibility we need to follow the PEMDAS rule and check if the total value can be divided by the selected numbers without returning a remainder.

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