se what you know about supplementary angles to answer the question.(2 points)

Question

Supplementary angles add up to
. If m∠QRS=(2x+25)° and m∠SRT=15°, then the value of x=
.

Answer 1

Supplementary angles are two angles that add up to \(180^\circ\).

Given:

• \(m \angle QRS = (2x + 25)^\circ\)
• \(m \angle SRT = 15^\circ\)

Since \( \angle QRS\) and \( \angle SRT\) are supplementary, we can set up the equation:

\[ m \angle QRS + m \angle SRT = 180^\circ \]

Substituting the expressions for the angles:

\[ (2x + 25) + 15 = 180 \]

Now, simplify the equation:

\[ 2x + 40 = 180 \]

Next, solve for \(x\):

1. Subtract \(40\) from both sides: \[ 2x = 180 - 40 \] \[ 2x = 140 \]

2. Divide by \(2\): \[ x = 70 \]

So, the value of \(x\) is \(70\).