risingagario1013
risingagario1013 risingagario1013
  • 17-04-2019
  • Mathematics
contestada

One of the angles formed by two intersecting lines is 4 times greater than the other. Find these angles.

Respuesta :

calculista
calculista calculista
  • 26-04-2019

Answer:

The angles are 36° and 144°

Step-by-step explanation:

Let

x-----> one of the angles formed by two intersecting lines

y----> the other angle formed by two intersecting lines

we know that

x+y=180° -----> Equation A (by supplementary angles)

x=4y -----> equation B

substitute equation B in equation A

4y+y=180°

5y=180°

y=36°

Find the value of x

x=4(36°)=144°

therefore

The angles are 36° and 144°

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