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Question

asked Oct 27, 2021 212k views

1 Answer

Sardesh Sharma · Answer 1 · 2021-11-01T15:46:47+0000

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)

$\color{hotpink}x = 2$

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 :-

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

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

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