Step-by-step explanation:
While there are no examples available, there is the room to understand each angle type you listed, vertical angles are angles that are opposite from each other, and they are congruent (they have the same angle in degrees) now, imagine that for vertical angles, they are in an X top and bottom are equal, and the two sides are equal. For a straight angle, that is usually two angles that are right angles (90 degrees) back to back, meaning when you add 90 and 90 degrees together, you get a straight line or a 180 degree angle. An example of an acute angle is any angle less than 90 degrees, that is a real number, so imagine 25, 40, and 60 as all acute angles.
Hope this helps you identify them in your problem!
Answer:
∠ N = 41°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
6x + 1 + 3x - 10 + x + 19 = 180, simplifying
10x + 10 = 180 ( subtract 10 from both sides )
10x = 170 ( divide both sides by 10 )
x = 17
Thus
∠ N = 3x - 10 = 3(17) - 10 = 51 - 10 = 41°
Step-by-step explanation:
the point-slope form is
y - y1 = m(x - x1)
where (x1, y1) is a point on the line.
m is the slope of the line, which is always (in any form) the factor of x.
the parallel line has -2/8 as factor of x, which is therefore also the slope of our new line (after all, it has to be parallel, so it must have the same slope).
so, we have
y + 5 = -2/8 × (x - 4)
which can be simplified, of course, to
y + 5 = -1/4 × (x - 4)
To find the measure of THX we will set THX and XHV equal to each other.
6x + 5 = 8x - 15
6x + 20 = 8x
20 = 2x
10 = x
Now we can find the measure of THX by substituting in 10 for x,
6x + 5
6(10) + 5
60 + 5
65
THX is 65
Hope this helps :)
