Answer:
<4 = 126
<7 = 55
Step-by-step explanation:
Remark
There are only 2 answers to this question. <4 has one of them and <7 has the other one. <7 is acute. <2 is obtuse.
Givens
<2 = 55 degrees
Solution
<4 is the supplement of <2
Therefore <4 + <2 = 180 A straight line has an angle of 180°
<4 + 55 = 180
<4 = 180 - 55
<4 = 125
So <7 is either 55 or 125. Since <7 is acute, it is 55 degrees but we have another way of proving it.
<4 + <6 = 180 degrees Interior angles on the same side of the transversal are supplementary
125 + <6 = 180
<6 = 180 - 125
<6 = 55
<7 =<6 Vertically opposite angles are equal.
<7 = 55 degrees.
The answer is 5 cause two less then 7 is 5.
Answer:
Three acute angles.
Explanation:
There are always three acute angles in an acute triangle.
Find the slope using the formula [ y2-y1/x2-x1 ].
-9-(-12)/-15-(-24)
3/9
1/3
Find the y-intercept using the formula [ y = mx + b ].
y = 1/3x + b
-12 = 1/3(-24) + b
-12 = -8 + b
-4 = b
Use (18, 2) to see if the line passes through it
y = 1/3x - 4
2 = 1/3(18) - 4
2 = 6 - 4
2 = 2 TRUE
Thus, the line does pass through (18, 2).
Best of Luck!
Parallel is the answer
Perpendicular and intersecting lines both have and intersection point
Skew lines don't interest but they are not coplanar
