ashley3512 ashley3512

26-07-2018
Mathematics

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The sum of two angles is 180 and the angles have a ratio of 7:8. What is the number of degrees in the smaller angle??

Please explain!!

Respuesta :

28-07-2018

x - any unit in degrees

The ratio 7 : 8, therefeor the measures of the angles are 7x and 8x.

We know: the sum of those angles is 180°

Therefore we have the equation

7x + 8x = 180

15x = 180 |:15

x = 12

The smaller angle is 7x.

Your answer is 7 · 12° = 84°

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