Two supplementary angles are ∠ABC=(3x+25)° and ∠CBD=32° . What is an equation to solve for x ? The equation should be in simplest terms.(1 point)

___x°+__=180

1 answer

To find the equation to solve for \( x \) using the information given about two supplementary angles \( \angle ABC \) and \( \angle CBD \), we start by noting that supplementary angles sum to \( 180^\circ \).

You have:

  • \( \angle ABC = (3x + 25)^\circ \)
  • \( \angle CBD = 32^\circ \)

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

\[ (3x + 25) + 32 = 180 \]

Now, combine the constant terms on the left side:

\[ 3x + 25 + 32 = 180 \]

\[ 3x + 57 = 180 \]

Now, to put it in the required form \( ___x° + __ = 180 \):

You can rewrite the equation as:

\[ 3x + 57 = 180 \]

Thus, the equation we can use is:

\[ 3x + 57 = 180 \]

To express it in the simplest form that follows the specific case requested:

  • The coefficient of \( x \) is \( 3 \)
  • The constant on the left side is \( 57 \)

So you can fill in the blanks as follows:

3x + 57 = 180