Respuesta :

  • [tex]\sf{ 108°}[/tex]

Step-by-step explanation:

As we know that,

The sum of two corresponding interior angles =exterior angle

According to the question,

  • (a+10)+44=2a

  • a+10+44=2a

  • a+54=2a

  • 2a-a=54

  • a=54

Hence,

The exterior angle =2a=2×54=108°

2a= (a+10) + 44 - exterior angle thm.
2a= a + 54 - simplify
a= 54- subtract a from both sides of the equation

SUBSTITUTION
2(54)= 108 degrees