A) Here, sum of two non-adjacent angles: 52 + 25 = 77
Now, ∠3 = 180 - 77 [ sum of all angles in a triangle is 180 ]
so, ∠3 = 103
Now, ∠3 + ∠4 = 180 [ Supplementary angles ]
So, ∠4 = 180 - ∠3
∠4 = 180 - 103 = 77
∠4 = 77 [ which is sum of two non-adjacent angles ]
....Hence proved.
b) m∠4 = 77
[ Solved in previous section ]
Hope this helps!
<h3>
Answer: 60 degrees</h3>
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Explanation:
The circumference is the perimeter of the circle. It's the distance around the circle's edge. Think of it like a fence.
The full circle's perimeter is 6 units. The arc length is a piece of that and it's 1 unit.
1/6 of the full perimeter is the arc length
1/6 of a full 360 degree rotation is (1/6)*360 = 360/6 = 60
The central angle of the arc is 60 degrees.
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If you want to use a formula, it would be

where,
A = central angle of the arc
L = arc length
C = circumference
You would plug in L = 1 and C = 6 to find that A = 60
Slope of JK = 2/3
Slope of KL = -3/2
Slope of LM = 2/3
Slope of MJ = -3/2
Just did the test. It is not "Never". It is ALWAYS!!! If an equation has no solutions (like one with the same slope) THERE WILL BE NO SOLUTIONS!!!!!