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 x
.(1 point)
x =

(type in the number only)
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Answer 1

To find the value of \( x \), we start with the fact that angles ABD and DBC are supplementary, meaning they add up to \( 180^\circ \).

Given:

• \( \angle ABD = 3x^\circ \)
• \( \angle DBC = 105^\circ \)

We can write the equation:

\[ 3x + 105 = 180 \]

Now, we will solve for \( x \).

1. Subtract \( 105 \) from both sides:

\[ 3x = 180 - 105 \]

\[ 3x = 75 \]

2. Now, divide both sides by \( 3 \):

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

\[ x = 25 \]

So, the equation that solves for \( x \) is \( 3x + 105 = 180 \), and the value of \( x \) is \( 25 \).