markbyrnes15 markbyrnes15
  • 06-12-2019
  • Mathematics
contestada

In the diagram, m∠8=4x°, m∠7=30°, and m∠9=(6x−20)°. Find the value of x.

x= ???

In the diagram m84x m730 and m96x20 Find the value of x x class=

Respuesta :

calculista
calculista calculista
  • 13-12-2019

Answer:

x=25

Step-by-step explanation:

we know that

The triangle external angle theorem states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles

In this problem

m∠9=m∠7+m∠8

substitute the given values

[tex](6x-20)\°=30\°+4x\°[/tex]

solve for x

[tex]6x-4x=30+20\\2x=50\\x=25[/tex]

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