Chapter 1.2, Problem 8PSA

To determine

To Find: The measure of the $\angle A$ .

Answer to Problem 8PSA

  $\angle CAB=55°$

Explanation of Solution

Given:

  

  $\angle CBD\cong \angle DBE$

Concept Used:

Congruent angles are equal in measure.

Calculation:

Here $\angle CBD\cong \angle DBE$ and $\angle DBE=60°$

  $\begin{array}{l}\Rightarrow \angle CBD=\left(x+10\right)°=60°\\ \Rightarrow x=50°\\ \Rightarrow \angle CAB=\left(x+5\right)°=\left(50+5\right)°=55°\\ \therefore \angle CAB=55°\end{array}$

Conclusion:

  $\angle CAB=55°$