Question

The diagram shows a triangle.
63°
z
46°
What is the value of z?
z =
°

Answer 1

To find the value of \( z \) in the triangle, we can use the fact that the sum of the angles in any triangle is always \( 180^\circ \).

Given that one angle is \( 63^\circ \) and another is \( 46^\circ \), we can set up the following equation:

\[
z + 63^\circ + 46^\circ = 180^\circ
\]

Now, add \( 63^\circ \) and \( 46^\circ \):

\[
63 + 46 = 109
\]

Next, plug this back into the equation:

\[
z + 109^\circ = 180^\circ
\]

To find \( z \), subtract \( 109^\circ \) from both sides:

\[
z = 180^\circ - 109^\circ
\]

\[
z = 71^\circ
\]

So, the value of \( z \) is:

\[
\boxed{71^\circ}
\]