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°
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Answer:
Step-by-step explanation:
There is a typo in the question, the lengths of the sides of the prism are:
24 cm
9 cm
17 cm
(otherwise, if all sides were 9 cm, it would be a cube, not a prism)
The volume of a rectangular prism is given by:
where:
l is the length of the prism
w is the width of the prism
h is the height prism
In this problem,
(length)
(width)
(height)
Therefore, the volume of the prism is: