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<= 1 and 2 are compuementarg. If 
m/_l=7x+16 and 
m/_z=4x-5 then find measure of 12 .

1 \leqslant 1 and 22 are compuementarg. If ml=7x+16 m \angle l=7 x+16 and mz=4x5 m \angle z=4 x-5 then find measure of 1212 .

Full solution

Q. 1 \leqslant 1 and 22 are compuementarg. If ml=7x+16 m \angle l=7 x+16 and mz=4x5 m \angle z=4 x-5 then find measure of 1212 .
  1. Complementary Angles Equation: Angles 11 and 22 are complementary, so their measures add up to 9090 degrees.m/_1+m/_2=90m/\_1 + m/\_2 = 90(7x+16)+(4x5)=90(7x + 16) + (4x - 5) = 90
  2. Combine Like Terms: Combine like terms.\newline7x+4x+165=907x + 4x + 16 - 5 = 90\newline11x+11=9011x + 11 = 90
  3. Isolate Variable Term: Subtract 1111 from both sides to isolate the variable term.\newline11x=7911x = 79
  4. Solve for x: Divide both sides by 1111 to solve for xx.\newlinex=7911x = \frac{79}{11}\newlinex=7.18181818...x = 7.18181818... (This is a rounding error, xx should be 7.18181818...7.18181818..., but we'll use 7.187.18 for simplicity)

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