Chapter 6.4, Problem 61SPR

To determine

Tocalculate:The congruent angles of the triangle.

Answer to Problem 61SPR

The required congruent angles are $\angle AJK\text{and}\angle AKJ$ .

Explanation of Solution

Given information:

The given triange is

  

Given congruent sides are $\overline{JA}\cong \overline{KA}$ .

Calculation:

It is known that adjacent sides of the base of an isosceles triangle are equal.

Since, it is given that $\overline{JA}\cong \overline{KA}$ , so $\Delta AJK$ is isosceles.

Thus, $\angle AJK\cong \angle AKJ$

Hence, the required congruent angles are $\angle AJK\text{and}\angle AKJ$ .