Question

If u know it please answer it!

Answer 1

As ∠ ( 6x + 6 )° and ∠ ( 8x + 2 )° are vertically opposite angles , their measures will be equal .

Which means :-

`6x + 6 = 8x + 2`

`6 = 8x + 2 - 6x`

`6 = 2x + 2`

`2x + 2 = 6`

`2x = 6 - 2`

`2x = 4`

`x = (4)/(2)`

`\color{hotpink}x = 2`

Then :-

1) = ∠URS

= 6x + 6

= 6 × 2 + 6

= 12 + 6

`\color{olive} ∠URS \color{hotpink} = 18°`

2) = ∠QRT

= 8x + 2

= 8 × 2 + 2

= 16 + 2

`\color{olive} ∠QRT \color{hotpink}= 18°`

Therefore , the correct options are :-

`\color{olive} x \color{hotpink} = \color{hotpink} \color{olive} 2`

`\color{olive} ∠QRT\color{hotpink} = \color{olive} 18 \: deg`

`\color{olive} ∠URS \color{hotpink} = \color{olive} 18 \: deg`