Question

Help with this question!Please

Answer 1

Answer= 60
For both answers X= 60

Answer 2

`{\large\begin{gathered} { \underbrace{\boxed { \rm {\blue {Concept \: \: Using}}}}}\end{gathered}}`

The angle sum property of a triangle:

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

`\underline {\mathcal {{{\color{orange}{\bf \large \rightarrow \: \angle \: 1 \: + \: \angle \: 2 \: + \: \angle \: 3 \: = \: 180 \degree}}}}}`

`{\large\begin{gathered} { \underbrace{\boxed { \rm {\blue {Solution}}}}}\end{gathered}}`

In 1st Triangle

• ∠1 = 50°
• ∠2 = 70°
• ∠3 = x

.

`\bf \large\longrightarrow \: \: 50 \degree \: + \: 70 \degree \: + \: x \: = \: 180 \degree`

`\bf \large\longrightarrow \: \:120 \degree \: + \: x \: = \: 180 \degree`

`\bf \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 120 \degree`

`\bf \large\longrightarrow \: \: x \: = \: 60\degree`

_______________________

In 2nd Triangle

• ∠1 = x
• ∠2 = 60°
• ∠3 = 60°

`\bf \large\longrightarrow \: \: x \: + \: 60 \degree \: + \: 60 \degree \: = \: 180 \degree`

`\bf \large\longrightarrow \: \: x \: + \: 120 \degree \: = \: 180 \degree`

`\bf \large\longrightarrow \: \: x \: = \: 180 \degree \: - \: 120 \degree`

`\bf \large\longrightarrow \: \: x \: = \: 60\degree`