Respuesta :

Answer= 60
For both answers X= 60

[tex]{\large\begin{gathered} { \underbrace{\boxed { \rm {\blue {Concept \: \: Using}}}}}\end{gathered}}[/tex]

The angle sum property of a triangle:

Angle sum property of triangle states that the sum of interior angles of a triangle is 180°

[tex] \underline {\mathcal {{{\color{orange}{\bf \large \rightarrow \: \angle \: 1 \: + \: \angle \: 2 \: + \: \angle \: 3 \: = \: 180 \degree}}}}} [/tex]

[tex]{\large\begin{gathered} { \underbrace{\boxed { \rm {\blue {Solution}}}}}\end{gathered}}[/tex]

In 1st Triangle

  • ∠1 = 50°
  • ∠2 = 70°
  • ∠3 = x

.

[tex]\bf \large\longrightarrow \: \: 50 \degree \: + \: 70 \degree \: + \: x \: = \: 180 \degree[/tex]

[tex]\bf \large\longrightarrow \: \:120 \degree \: + \: x \: = \: 180 \degree[/tex]

[tex]\bf \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 120 \degree[/tex]

[tex]\bf \large\longrightarrow \: \: x \: = \: 60\degree[/tex]

_______________________

In 2nd Triangle

  • ∠1 = x
  • ∠2 = 60°
  • ∠3 = 60°

[tex]\bf \large\longrightarrow \: \: x \: + \: 60 \degree \: + \: 60 \degree \: = \: 180 \degree[/tex]

[tex]\bf \large\longrightarrow \: \: x \: + \: 120 \degree \: = \: 180 \degree[/tex]

[tex]\bf \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 120 \degree[/tex]

[tex]\bf \large\longrightarrow \: \: x \: = \: 60\degree[/tex]

Otras preguntas