Anumber is increased by 15% to give 60. what is the number

If there is 15% increase, then the value is 1.15
If there is 15% decrease, then the decimal value is .85

We want the increase a number, so we're gonna use 1.15

Let "N" be the number
To decrease or increase, we have to multiply a number by a value

1.15*N = 60

Divide both side by 1.15, you will be left with N

N =  = 52.17 (rounded to hundredth place)

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Agc and bgd are vertical angles