Answer:
x= 77
Step-by-step explanation:
The angle at 122 degrees is a linear pair with the isosceles triangle, meaning it makes 180 degrees.
180-122= 58 degrees
Since it is an isosceles triangle, the two angles at the bottom are both 58 degrees.
Let's use this info to find the degree at the top.
58+58= 116
There are 180 degrees in a triangle, so subtract 116 degrees we have so far to find the last angle.
180-116= 64 degrees
And since the angle at the top makes 90 degrees, we can subtract 64 degrees to find the smaller angle to the right of the 64 degree angle.
90-64= 26 degrees
And since a triangle has a total of 180 degrees, subtract the 26 degrees from 180.
180-26= 154 degrees.
And since it is an isosceles triangle, divide the remaining 154 degrees by 2 because they are both equal.
154/2= 77 degrees.
Your answer is 77 degrees.
Are there answer choices for this one because I got something kind of weird
Answer:
1. D
2. B
3. A
Step-by-step explanation:
Question 1:
The pair of <JKL and <LKM can be referred to as linear pairs. They are two adjacent angles that are formed from the intersecting of two lines.
Question 2:
Given that <KLM = x°
<KML = 50°
<JKL = (2x - 15)°
According to the exterior angle theorem, exterior ∠ JKL = <KLM + KML.
2x - 15 = x + 50
Solve for x
2x - x = 15 + 50
x = 65
Therefore, <KLM = 65°
QUESTION 3:
<JKL = 2x - 15
Plug in the value of x
<JKL = 2(65) - 15
= 130 - 15
<JKL = 115°
12 fluid ounces of sweat an hour
We can find the slope of this line by using the slope formula:

We'll use the points (-6, 0) and (0, -3)
(-3 - 0) / (0 + 6) = -3/6 = -0.5
The slope of the line is A, -1/2