Question

calculate the value of x and the value of y. x = 33 and y = 93 none of these x = 33 and y = 83 x = 43 and y = 93

Explanation:

Step1: Use the exterior angle theorem

The exterior angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(y=x + 60\). Also, \(y+87 = 180\) (linear pair of angles).

Step2: Solve for \(y\)

From \(y+87 = 180\), we get \(y=180 - 87=93\).

Step3: Solve for \(x\)

Substitute \(y = 93\) into \(y=x + 60\). Then \(93=x + 60\). Solving for \(x\), we subtract 60 from both sides: \(x=93 - 60=33\).

Answer:

\(x = 33\) and \(y = 93\)