Answer:
C
Step-by-step explanation:
Notice that there is a little triangle formed by the lines on the right side of the diagram.
Let's find the angle measures of the triangle. One of them has a supplementary angle of 96 degrees, which means that the actual interior angle is 180 - 96 = 84 degrees.
Another angle has a supplementary angle of 137, which means that the actual interior angle of the triangle is 180 - 137 = 43 degrees.
Finally, we have the expression 2x - 23, which is an exterior angle. By definition, this exterior angle is equal to the sum of the interior angles of the triangle that do not include its supplementary angle. In other words:
2x - 23 = 84 + 43
Now we just solve for x:
2x - 23 = 84 + 43 = 127
2x = 127 + 23 = 150
x = 150/2 = 75 degrees
The answer is 75 degrees, or C.
<h2 /><h2>45 - 20 = m</h2><h2 /><h2>OR m = 45 - 20</h2><h2 /><h2>Hope that helps!</h2>
Answer:
Step-by-step explanation:
Ive already explained this somebody else asked if you find it you will have the answer
Answer:
Step-by-step explanation:
You are to assume in both problems that the two triangles are similar. That is a very dangerous assumption -- especially in later math classes. But in this case, there is no other way to do the problem. The two sets of triangles look like they are proportional. So set up two ratios that are = to each other
On the left
long side small triange / long side large triangle = base small triangle / base large triangle
On the right
hypotenuse/longest leg = hypotenuse / longest leg.
Problem A
Set up the similar Proportion
5/40 = x/20 Cross Multiply
40x = 20*5
40x = 100 Divide by 40
x = 100/40
x = 2.5
Problem B
Again set up the similar triangle proportion
15/10 = x/2 Multiply by 2
15*2/10 = x
3 = x
