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Two angles, X and Y are complementary, given that angle Y is three times angle X, find the values of each angle

Two angles, X and Y are complementary, given that angle Y is three times angle X, find the values of each angle 

Solutions

Expert Solution

for angles that are complementary, their sum is 900

we can therefore have, X + Y = 90

but we have been given the value of angle Y as three times angle X. therefore

Y = 3X

we add 

X + 3X = 4X

we equate to 90;

4X = 90

divide by 4 on both sides to find the value of X

X = 22.50

Y = 3X 

Y = 3 X 22.5 = 67.50

we, therefore, have the values of each angle asked in the question

the value of angle X is 22.50

the value of angle Y is 67.50

joseph irungu answered 2 years ago
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