Answer:
52 and 38
Step-by-step explanation:
If x = 13 then 4x = 4 * 13 so 52.
Same for the next one. 2x = 2 * 13 so 26. 26+12 is 38.
Done...
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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The size of ∠QTW in degrees is 72°. See the explanation below. This is based on the concept of opposite sides in a quadrilateral.
<h3>What is the logic leading to the above result?</h3>
QSUWY which is a pentagon is regular that mean:
∠QYW = 108°
The quadrilateral QTWY is a cyclic one. This means that we can apply the rule that states that opposites sides must add up to 180°
Thus, ∠QTW =
180 - 108
= 72°
<h3>What is a quadrilateral?</h3>
A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon.
In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
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Full Question:
See the attached image for missing details.
The interest rate or percent of interest, and the higher the rate and the more it gives is what you are looking for