Question

Two supplementary angles have measures m∠QRS=33°
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)°+21°=90°
left parenthesis 2 x right parenthesis degrees plus 21 degrees equals 90 degrees

(2x)°+21°=180°
left parenthesis 2 x right parenthesis degrees plus 21 degrees equals 180 degrees

(2x)°+54°=180°

Answer 1

To find the equation to solve for \( x \) with the given supplementary angles, we first need to understand that supplementary angles sum up to \( 180^\circ \).

We know:
- \( m\angle QRS = 33^\circ \)
- \( m\angle RST = (2x + 21)^\circ \)

Since these two angles are supplementary, we can set up the equation:

\[
33^\circ + (2x + 21)^\circ = 180^\circ
\]

Now, combine the constants:

\[
(2x + 33 + 21)^\circ = 180^\circ
\]

This simplifies to:

\[
(2x + 54)^\circ = 180^\circ
\]

Thus, the correct equation to solve for \( x \) is:

\[
(2x)^\circ + 54^\circ = 180^\circ
\]

So the final answer is:

**(2x)° + 54° = 180°**