To find the value of \( y \) in the diagram where three angles on a straight line sum to 180 degrees, you can use the following equation:
\[ 116^\circ + 30^\circ + y = 180^\circ \]
Now, solve for \( y \):
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First, add the known angles: \[ 116^\circ + 30^\circ = 146^\circ \]
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Now, substitute this back into the equation: \[ 146^\circ + y = 180^\circ \]
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Subtract \( 146^\circ \) from both sides to isolate \( y \): \[ y = 180^\circ - 146^\circ \] \[ y = 34^\circ \]
Thus, the value of \( y \) is \( 34^\circ \).
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