The measure of the supplementary angles are 34.3 and 145.7 degrees.
<h3>What are supplementary angles?</h3>
Supplementary angles are those angles that sum up to 180 degrees.
In other words, two angles are Supplementary when they add up to 180 degrees.
Therefore, the angles measures 111.4° more than the measure of it's supplementary angle.
Hence,
let
x = measure of the other angle
x + x + 111.4 = 180
2x + 111.4 = 180
subtract 111.4 from both sides
2x + 111.4 - 111.4 = 180 - 111.4
2x = 68.6
divide both sides by 2
x = 68.6 / 2
x = 34.3
Other angle = 34.3 + 111.4 = 145.7°
Therefore, the measure of the supplementary angles are 34.3 and 145.7 degrees.
learn more on supplementary angles here: brainly.com/question/15966137
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Definitions of Right Angles
The measure of angle E is (b) 50°
<h3>How to determine the angle measure?</h3>
The given parameters are:
- ΔCAB is similar to ΔCED
- AB and ED are parallel
The similarity of the triangles implies that:
- angle C = angle C
- angle A = angle E
- angle B = angle D
From the figure, we have:
angle A = 50
Substitute angle A = 50 in angle A = angle E
angle E = 50
Hence, the measure of angle E is (b) 50°
Read more about similar triangles at:
brainly.com/question/14285697
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The mean of the probability distribution is given by the expected value given by
The variance of the probability distribution is given by
The standard deviation is given by
The answer is 3 units down and one unit left.
