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4 years ago

Find all missing angle if m<1=50

Mathematics

2 answers:

Inessa05 [86]4 years ago

8 0

Angles 1, 3, 5, and 7 each equal 50 degrees

180 - 50 = 130
Angles 2, 4, 6 and 8 each equal 130 degrees

Fynjy0 [20]4 years ago

3 0

Well, assuming that lines 'r' and 's' are parallel...

Angle 1 is 50°, this means that Angle 2 must be 180 - 50 = 130°. Because these two angles make up a line, and we know that a line is 180°.

Angle 3 is a corresponding angle to Angle 1, this means it must also equal 50°. Similarly, Angle 4 corresponds to Angle 2, which means it must equal 130°.

Angle 5 corresponds to Angle 1, Angle 5 = 50°
Angle 6 corresponds to Angle 2, Angle 6 = 130°
Angle 7 corresponds to Angle 3, Angle 7 = 50°
Angle 8 corresponds to Angle 4, Angle 8 = 130°

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3 years ago

Mr. Johnson is working on constructing a square table for his classroom. He positioned his design on a coordinate grid, as shown

sasho [114]

Answer:

This is proved with the help of slope.

Step-by-step explanation:

Given Mr. Johnson is working on constructing a square table for his classroom. He positioned his design on a coordinate grid, as shown. Mr. Johnson will need to put a brace through each diagonal of the table in order to secure the table's stability.

Now, if Johnson use more than one brace then we have to prove that the braces will intersect at a right angle.

From the figure we have to prove the diagonals AC and BD are at right angle. To prove above we have to find the slopes of both diagonals.

$\text{Slope of AC=}\frac{y_2-y_1}{x_2-x_1}=\frac{-5-2}{4-(-3)}=\frac{-7}{7}=-1$

$\text{Slope of BD=}\frac{y_2-y_1}{x_2-x_1}=\frac{2-(-5)}{4-(-3)}=\frac{7}{7}=1$

$\text{Product of their slopes=}-1\times 1=-1$

As we know, In a coordinate plane, the slopes of perpendicular lines are opposite reciprocals of each other i.e their product is equals to -1.

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3 years ago