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12-07-2019
Mathematics

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Find the value of x if m arc ADC = (4x + 4)° and m angle ABC = 150°.

Find the value of x if m arc ADC 4x 4 and m angle ABC 150 class=

Respuesta :

calculista calculista

23-07-2019

Answer:

The measure of angle x is 74°

Step-by-step explanation:

we know that

The inscribed angle measures half of the arc that comprises

so

∠ABC=(1/2)[arc ADC]

substitute the given values

150°=(1/2)[4x+4]

300°=[4x+4]

4x=300-4

4x=296

x=74°

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