Question

The diagram shows a triangle.
117°
15u
33°
What is the value of u?
u =
°

Answer 1

To find the value of \( u \) in the triangle with angles \( 117^\circ \), \( 33^\circ \), and \( 15u \), we can use the fact that the sum of the angles in any triangle is always \( 180^\circ \).

The equation can be set up as follows:

\[
117^\circ + 33^\circ + 15u = 180^\circ
\]

First, we can add \( 117^\circ \) and \( 33^\circ \):

\[
117^\circ + 33^\circ = 150^\circ
\]

Now, substitute this back into the equation:

\[
150^\circ + 15u = 180^\circ
\]

Next, isolate \( 15u \) by subtracting \( 150^\circ \) from both sides:

\[
15u = 180^\circ - 150^\circ
\]

\[
15u = 30^\circ
\]

Now, divide both sides by 15 to solve for \( u \):

\[
u = \frac{30^\circ}{15} = 2^\circ
\]

Thus, the value of \( u \) is

\[
\boxed{2}
\]