Question

The measure of angle C is 38°. Part A What is the measure of angle B? angle D? ....

Answer 1

We have the following:

In this case we have that the angles of A and C are equal and that B and D are also equal.

We have that the sum of all the angles is equal to 360 °

`\begin{gathered} A=C=38,B=D \\ A+B+C+D=360 \\ \text{replacing} \\ 38+B+38+B=360 \\ 2B=360-38-38 \\ B=(284)/(2) \\ B=142\text{\degree} \\ D=142\text{\degree} \end{gathered}`