Q. ⩽1 and 2 are compuementarg. If m∠l=7x+16 and m∠z=4x−5 then find measure of 12 .
Complementary Angles Equation: Angles 1 and 2 are complementary, so their measures add up to 90 degrees.m/_1+m/_2=90(7x+16)+(4x−5)=90
Combine Like Terms: Combine like terms.7x+4x+16−5=9011x+11=90
Isolate Variable Term: Subtract 11 from both sides to isolate the variable term.11x=79
Solve for x: Divide both sides by 11 to solve for x.x=1179x=7.18181818... (This is a rounding error, x should be 7.18181818..., but we'll use 7.18 for simplicity)
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