Question
The diagram shows a triangle.
37°
110°
z
What is the value of z?
z =
°
37°
110°
z
What is the value of z?
z =
°
Answers
GPT-4o mini
In a triangle, the sum of the interior angles is always 180°. Given the angles of the triangle are 37°, 110°, and z, you can find z by setting up the equation:
\[
37° + 110° + z = 180°
\]
First, add the known angles:
\[
37° + 110° = 147°
\]
Now, subtract this sum from 180° to find z:
\[
z = 180° - 147° = 33°
\]
Therefore, the value of z is:
\[
z = 33°
\]
\[
37° + 110° + z = 180°
\]
First, add the known angles:
\[
37° + 110° = 147°
\]
Now, subtract this sum from 180° to find z:
\[
z = 180° - 147° = 33°
\]
Therefore, the value of z is:
\[
z = 33°
\]