<span>Complementary angles by definition sum up to 90 degrees.
Let x = measure of angle2.
It's given that angle1 = x + 54
Since complementary, we know (x+54)+x = 90
2x+54=90
2x=36
x=18.
So angle2 measures 18 degrees and angle1 is 18 degrees+54 degrees, or 72 degrees. 72+18 = 90 as expected for complementary angles.</span>
The width of the TV is 27.9 inches
Step-by-step explanation:
Given,
Diagonal of TV = 32 inch
Height of TV = 15.7 inch
The diagonal makes the TV into a right triangle,
Therefore,
Diagonal = hypotenuse = c = 32 inch
Height = perpendicular = a = 15.7 inch
Width = base = b
Using pythagoras theorem

Taking square root on both sides

Rounding off to nearest tenth
b = 27.9 inches
The width of the TV is 27.9 inches
Keywords: Pythagoras theorem, square root
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Angle A = arctan(12/5) = 67.4 degrees
Angle A = arccos(5/13) = 67.4 degrees
yes the answer was the same
Answer with factoring: 2(3y+4)
Answer with simplifying: 6y+8