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Multiple Choice Question

Which equation can be solved to find the value of y in this diagram?

The straight-line shows three angles. The angles are 116 degrees, 30 degrees, and y degrees.

A.

B.

C.

D.

1 answer

To find the value of \( y \) in the given diagram, we can use the fact that the sum of the angles on a straight line is \( 180 \) degrees.

Given the angles are \( 116 \) degrees, \( 30 \) degrees, and \( y \) degrees, we can set up the following equation:

\[ 116 + 30 + y = 180 \]

Now, simplify the equation:

  1. Calculate \( 116 + 30 \): \[ 146 + y = 180 \]

  2. Now, subtract \( 146 \) from both sides: \[ y = 180 - 146 \]

  3. Therefore: \[ y = 34 \]

So, the equation you would use to find \( y \) is: \[ 116 + 30 + y = 180 \]

If you have the answer choices labeled (A, B, C, D), you would look for the option that may present this equation.