Question

the measures of two angles be x and y if x+y=90 and x:y =2:3 then x=__​

Answer 1

Let common angle be a.

Then, x : y = 2a : 3a

According to the problem,

x + y = 90°

=> 2a + 3a = 90°

=> 5a = 90°

=> a = 16°

Thus, x = (2 * 16)°

=> x = 32°

Hence, the value of x is 32°

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