This statement is obviously FALSE because the vertical angles are congruent, whatever is the measure of one the two angle, but the linear pair is two angles that lie next to each other and their measures add up to 180 degrees. The linear pair is also a pair of adjacent angles formed by intersecting lines.
Given :
- An angle which measures 26.8° less than the measure of its complementary angle.
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To Find :
- The measure of each angle.
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Solution :
- Let's assume the one of the complementary angle as "x" and the other angle as (x – 26.8)° .
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Now,
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According to the Question :
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![{\longrightarrow \qquad \sf{ x + {(x - 26.8)}^{ \circ} = {90}^{ \circ} }}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%20x%20%2B%20%7B%28x%20-%2026.8%29%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%20%7B90%7D%5E%7B%20%5Ccirc%7D%20%7D%7D)
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![{\longrightarrow \qquad \sf{ x + {x - 26.8}^{ \circ} = {90}^{ \circ} }}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%20x%20%2B%20%7Bx%20-%2026.8%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%20%7B90%7D%5E%7B%20%5Ccirc%7D%20%7D%7D)
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![{\longrightarrow \qquad \sf{ 2 {x - 26.8}^{ \circ} = {90}^{ \circ} }}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%202%20%7Bx%20-%2026.8%7D%5E%7B%20%5Ccirc%7D%20%20%3D%20%20%7B90%7D%5E%7B%20%5Ccirc%7D%20%7D%7D)
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![{\longrightarrow \qquad \sf{ 2 x = {90}^{ \circ} + 26.8^{ \circ}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%202%20x%20%20%20%3D%20%20%7B90%7D%5E%7B%20%5Ccirc%7D%20%20%2B%2026.8%5E%7B%20%5Ccirc%7D%7D%7D)
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![{\longrightarrow \qquad \sf{ 2 x = 116.8^{ \circ}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%202%20x%20%20%20%3D%20%20116.8%5E%7B%20%5Ccirc%7D%7D%7D)
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![{\longrightarrow \qquad \sf{ x = \dfrac{116.8^{ \circ}}{2}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%5Cqquad%20%5Csf%7B%20x%20%20%20%3D%20%20%20%20%5Cdfrac%7B116.8%5E%7B%20%5Ccirc%7D%7D%7B2%7D%7D%7D)
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![{\longrightarrow \qquad \frak{\pmb{ x =58.4^{ \circ}}}}](https://tex.z-dn.net/?f=%7B%5Clongrightarrow%20%20%5Cqquad%20%20%5Cfrak%7B%5Cpmb%7B%20%20x%20%20%20%3D58.4%5E%7B%20%5Ccirc%7D%7D%7D%7D)
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Therefore,
- Other angle = 58.4° – 26.8° = 31.6°
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Hence,
- The measure of the each angles are 58.4° and 31.6° .
Answer:
2.5km
Step-by-step explanation:
1000m=1km
We have 2500m
2500m=2.5km
Answer:
The slope of the line would be -3/2.
Step-by-step explanation:
Let's get this equation into the proper slope form:
2x - 3y - 5 = 0
2x - 3y + 3y - 5 = 0 + 3y
2x - 5 = 3y
(1/3)(2x - 5) = 3y * 1/3
2/3x - 5/3 = y
Since the slope is 2/3, we need to find the negative reciprocal of that number, which is -3/2.