Complementary angles are two angles whose measures add to 90°. The ratio of the measures of
two complementary angles is 7:11. What are the
measures of the angles?

let the two complementary angles be x and 90-x

x= 7t (say)

90-x= 11t

x+90-x=90= 7t+11t=18t

90=18t

t=90/18= 10/2= 5

so x= 7×5=35 degrees

and 90-×=90-35=55 degrees

Step-by-step explanation:

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x= 7t (say)

90-x= 11t

x+90-x=90= 7t+11t=18t

90=18t

t=90/18= 10/2= 5

so x= 7×5=35 degrees

and 90-×=90-35=55 degrees

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680