Two supplementary angles have measures m∠QRS=33°

Question

and m∠RST=(2x+21)°
. What is the equation to solve for x
?(1 point)
Responses

(2x)°+54°=90°
left parenthesis 2 x right parenthesis degrees plus 54 degrees equals 90 degrees

(2x)°+54°=180°
left parenthesis 2 x right parenthesis degrees plus 54 degrees equals 180 degrees

(2x)°+21°=90°
left parenthesis 2 x right parenthesis degrees plus 21 degrees equals 90 degrees

(2x)°+21°=180°

Answer 1

Supplementary angles are two angles whose measures add up to 180°. Given the measures \( m∠QRS = 33° \) and \( m∠RST = (2x + 21)° \), you can set up the following equation:

\[ 33° + (2x + 21)° = 180° \]

To isolate \( x \), you can rearrange this equation. However, looking at the responses provided, the correct equation that represents the relationship of the angles is:

\[ (2x)° + 21° = 180° \]

So the correct response is:

(2x)° + 21° = 180°.