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question #11 directions: drag the answers to the correct boxes. look at…

Question

question #11
directions: drag the answers to the correct boxes.
look at the figure below to find the value of x and y.

Explanation:

Step1: Find \(x\) using the triangle angle - sum theorem

The sum of angles in a triangle is \(180^{\circ}\).

$$x + 75+43=180$$
$$x=180-(75 + 43)$$
$$x = 62$$

Step2: Find \(y\) using the linear - pair relationship

\(y\) and \(x\) form a linear pair (\(y+x = 180^{\circ}\))

$$y=180 - x$$

Substitute \(x = 62\) into the equation.

$$y=180-62$$
$$y = 118$$

Answer:

\(x = 62\), \(y = 118\)