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°

Answer 1

Supplementary angles sum up to \( 180^\circ \). Given the angles are \( \angle ABC = (3x + 25)^\circ \) and \( \angle CBD = 32^\circ \), we can set up the equation:

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

Now, simplifying this equation:

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

Combining like terms:

\[ 3x + 57 = 180 \]

Thus, the equation to solve for \( x \) in simplest terms is:

\[ 3x + 57 = 180 \]