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haleynicole351ovewbg
28.08.2019 •
Mathematics
Lines x and y are parallel.
use the diagram to determine the measure of the unknown angle.
m∠1 = (6x + 8)°
m∠1 = 74°
1. what is the value of x? options: 11, 16, 22, 31.
2. what is the measure of ∠2?
(7x - 2)° + m∠2 = 106°
m∠2 = ° options: 21, 27, 31, 37.
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Ответ:
On the bottom line, the 106 and number 1 make a straight line and needs to equal 180 degrees.
This means number 1 = 180-106 = 74 degrees.
Because x and y are parallel, the top outside angle is the same as number 1.
6x +8 = 74
Subtract 8 from both sides:
6x = 66
divide both sides by 6:
x = 66 / 6
x = 11
Now you have x, replace x in the equation for 7x-2 to find that angle:
7(11) -2 = 77-2 = 75 degrees.
The three inside angles need to equal 180 degrees.
Angle 2 = 180 - 74 - 75 = 31 degrees.
Ответ:
all work is shown and pictured
Ответ:
Step-by-step explanation: