Question

If the angle is 30°more than one half of its complement. Find the measure of the angle.​

Answer 1

Step-by-step explanation:

30+1/2×90

30+45

85°

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Answer 2

Step-by-step explanation:

$Let \: an \: angle \: measured \: by ‘ \: a ‘ \\ Thus, \: its \: complement \: will \: be \: (90 – a)°  \\ Required \: Angle = 30° + complement/2  \\ a = 30° + ( 90 – a )°/2  \\ \\ a + a/2 = 30° + 45° \\ 3a/2 = 75°  a = 50°  \\ Therefore, \: the \: measure \: of \: required \: angle \: is \: 50°.$

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