Chapter 6.5, Problem 25PPS

To determine

The measure of angle BDA.

Answer to Problem 25PPS

  $m\angle BDA=24$

Explanation of Solution

Given:

ABCD is a rhombus.

  $PB=12,AB=15\text{ and m}\angle \text{ABD = 24}\text{.}$

Calculation:

A rhombus has 4 congruent sides.

So,

  $\Delta ABD$ is an isosceles triangle, hence, according to the Isosceles Triangle Theorem;

  $\angle BDA\cong \angle ABD.$

Therefore,

  $\begin{array}{l}m\angle BDA=m\angle ABD\\ m\angle BDA=24\end{array}$