Two supplementary angles are ∠ABC=(3x+25)°

Question

and ∠CBD=32°
. What is an equation to solve for x
? The equation should be in simplest terms.(1 point)
x°+
°=180°

Answer 1

To find the equation for \( x \), you can use the relationship that supplementary angles sum to \( 180^\circ \).

Given:

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

Since these two angles are supplementary, you can set up the equation:

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

Now, simplify the equation:

1. Combine like terms: \[ 3x + 25 + 32 = 180 \] \[ 3x + 57 = 180 \]

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

\[ 3x + 57 = 180 \]