Question

1. given the following diagram of △cdb. find the value of x.

x = ______

Explanation:

Step1: Use exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In \(\triangle CDB\), the exterior angle at \(B\) is \(112^{\circ}\), and the two non - adjacent interior angles are \(x\) and \(60^{\circ}\). So, \(x + 60^{\circ}=112^{\circ}\).

Step2: Solve for \(x\)

Subtract \(60^{\circ}\) from both sides of the equation \(x + 60^{\circ}=112^{\circ}\). We get \(x=112^{\circ}-60^{\circ}\).

Answer:

\(52^{\circ}\)