Chapter 14.4, Problem 43STP

To determine

To Find:the angle D in degree.

Answer to Problem 43STP

  ${22.5}^{\circ }$

Explanation of Solution

Given information:

We know that, the given expression isangle C is $7$ times the angle D.

Calculation:

  $\because$ C and D are Supplementary angle.

  $\begin{array}{l}\therefore C+D={180}^{\circ }\\ \because C=7D\\ 7D+D={180}^{\circ }\\ 8D={180}^{\circ }\\ D=\frac{{180}^{\circ }}{8}\\ D={22.5}^{\circ }\end{array}$