Question

show all work for full credit. circle your answers. 1) given the following diagram of △cdb. find the value of x.

Explanation:

Step1: Recall triangle - 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 \(B\) (which is \(x^{\circ}\)) is equal to the sum of \(\angle D\) and \(\angle C\).

Step2: Calculate the value of \(x\)

We know that \(\angle D = 90^{\circ}\) and \(\angle C=52^{\circ}\). So, \(x = 90 + 52\).
\(x=142\)

Answer:

\(142\)