$$ \angle 1 $$ and $$ \angle 2 $$ are supplementary. $$ m \angle 1=3 x^{\circ} $$ $$ m \angle 2=(2 x-25)^{\circ} $$ What is the value of $$ x $$ ? Select from the drop-down menu to correctly answer the question. $$ x= $$ Choose ...

Question

UpStudy AI · Accepted Answer

To find the value of $$ x $$, we start with the information that angles $$ \angle 1 $$ and $$ \angle 2 $$ are supplementary. This means that their measures add up to $$ 180^\circ $$.

Given:
- $$ m \angle 1 = 3x^\circ $$
- $$ m \angle 2 = (2x - 25)^\circ $$

We can set up the equation based on the supplementary angle condition:

$$
m \angle 1 + m \angle 2 = 180^\circ
$$

Substituting the expressions for $$ m \angle 1 $$ and $$ m \angle 2 $$:

$$
3x + (2x - 25) = 180
$$

Now, we will simplify and solve for $$ x $$:

1. Combine like terms:
   $$
   3x + 2x - 25 = 180
   $$
   $$
   5x - 25 = 180
   $$

2. Add $$ 25 $$ to both sides:
   $$
   5x = 205
   $$

3. Divide by $$ 5 $$:
   $$
   x = 41
   $$

Thus, the value of $$ x $$ is $$ 41 $$.

So, the answer is:
$$ x = 41 $$
$$ x = 41 $$

\( \angle 1 \) and \( \angle 2 \) are supplementary. \( m \angle 1=3 x^{\circ} \) \( m \angle 2=(2 x-25)^{\circ} \) What is the value of \( x \) ? Select from the drop-down menu to correctly answer the question. \( x= \) Choose ...

Solución de inteligencia artificial de Upstudy

Responder

Solución

The Deep Dive

preguntas relacionadas

Latest Geometry Questions