Sum of all the interior angles = (5-2)x180 = 540°
540 - 100 - 120 - 100 - 90 = 130°
So the last unknown angle in the polygon is 130°
Sum of all the adjacent angles on a straight line is 180°
Angle 1 = 180 - 130 = 50°
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Answer:
x=-4
y=-4
Step-by-step explanation:
We are going to eliminate the variable x. In order to do this, we are going to make the coefficients the same by multiplying the second equation by 2
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2 angles are complementary if the sum of their measures is 90°.
For example if m(P) = 41° and m(Q)=49°, then P and Q are complementary.
Thus A and B are complementary means that m(A)=m(B)=90°:
(3x+5°) + (2x-15°) =90°
5x-10°=90°
5x=100°
x=20°
Thus
m(A)=3x+5°=3* 20°+5°=60°+5°=65°
m(B)=2x-15°=2*20°-15°=40°-15°=25°
Answer:
80
Step-by-step explanation:
From the given diagram;
KN = NM
9x - 5 = 7x + 7
9x - 7x = 7 + 5
2x = 12
x = 12/2
x = 6
Since KM= 2KL
KM = 2(6x+4)
KM = 12x + 8
KM = 12(6)+8
KM = 72+8
KM = 80
Hence the length of KM is 80
