Question
The diagram shows a triangle.
70°
y
54°
What is the value of y?
y =
°
70°
y
54°
What is the value of y?
y =
°
Answers
GPT-4o mini
To find the value of \( y \) in a triangle, we can use the fact that the sum of the angles in a triangle is always \( 180^\circ \).
Given the angles:
- One angle is \( 70^\circ \).
- Another angle is \( 54^\circ \).
- The third angle is \( y \).
We can set up the equation:
\[
70^\circ + 54^\circ + y = 180^\circ
\]
Now, combine the known angles:
\[
124^\circ + y = 180^\circ
\]
Next, solve for \( y \):
\[
y = 180^\circ - 124^\circ
\]
\[
y = 56^\circ
\]
So, the value of \( y \) is \( 56^\circ \).
Given the angles:
- One angle is \( 70^\circ \).
- Another angle is \( 54^\circ \).
- The third angle is \( y \).
We can set up the equation:
\[
70^\circ + 54^\circ + y = 180^\circ
\]
Now, combine the known angles:
\[
124^\circ + y = 180^\circ
\]
Next, solve for \( y \):
\[
y = 180^\circ - 124^\circ
\]
\[
y = 56^\circ
\]
So, the value of \( y \) is \( 56^\circ \).