Respuesta :

The exterior angle property of a triangle

  • An exterior angle of a triangle is equal to the sum of the opposite interior angles.

According to the question

[tex] \Large\begin{gathered} {\underline{\boxed{ \rm {\red{y \: + \: 45 \degree \: = \: 100 \degree}}}}}\end{gathered}[/tex]

Now , solving this liner equation

[tex]{{ \large{ \purple{ \rm{{↬}}}}}} \rm \large \: \: \large \rm \: y \: + \: 45 \degree \: = \: 100 \degree[/tex]

[tex]{{ \large{ \purple{ \rm{{↬}}}}}} \rm \large \: \: \large \rm \: y \: = \: 100 \degree \: - \: 45 \degree \:[/tex]

[tex]{{ \large{ \purple{ \rm{{↬}}}}}} \rm \large \: \: \large \rm \: y \: = \: 55 \degree[/tex]

Answer:

Your answer is Y = 55°.

Step-by-step explanation:

x = 180 - 100

x = 80

80+45 = 125

180-125 = 55

Hope this helps!