Angles ABD

Question

and DBC
are supplementary angles (add up to 180°
). If ∡ABD = 3x°
and ∡DBC = 105°
, what is the value of x
?

(1 point)
The equation that solves for x
is
.
Question 2
Solve the equation for

Answer 1

If angles \( ABD \) and \( DBC \) are supplementary, it means:

\[ \angle ABD + \angle DBC = 180^\circ \]

Given that \( \angle ABD = 3x^\circ \) and \( \angle DBC = 105^\circ \), we can set up the equation:

\[ 3x + 105 = 180 \]

Question 1:

The equation that solves for \( x \) is:

\[ 3x + 105 = 180 \]

Question 2:

Now, let's solve the equation for \( x \):

1. Subtract 105 from both sides:

\[ 3x = 180 - 105 \]

\[ 3x = 75 \]

2. Divide both sides by 3:

\[ x = \frac{75}{3} \]

\[ x = 25 \]

Thus, the value of \( x \) is \( 25 \).