Respuesta :

We will solve it using the angle sum property of triangle. The property states that the sum of all angles of a triangle is equal to 180°.

In our case, We are given two angles and we have to find the third angle.. So, we will let the third angle be x...

[tex] \sf : \leadsto∠1 + ∠2 + ∠3 = 180 \degree[/tex]

  • ∠1 = 90°
  • ∠2 = 25°
  • ∠3 = x

[tex] \sf : \leadsto90 + 25 + x = 180 \degree[/tex]

  • [Add the numbers]

[tex] \sf : \leadsto115+ x = 180 \degree[/tex]

  • [Move the constant to the right-hand side and change its sign]

[tex] \sf : \leadsto \: x = 180 - 115 [/tex]

  • [Subtract the numbers]

[tex] \sf : \leadsto \: x =65 \degree[/tex]

➪ Henceforth, The measure of the third angle is 65°...~