Question

se what you know about supplementary angles to answer the question.(2 points)
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 \(70\).