Question

triangle 1 has an angle that measures 34° and an angle that measures 48°. triangle 2 has an angle that measures 34° and an angle that measures a°, where a ≠ 48. based on the information, jennifer claims that triangle 1 and triangle 2 cannot be similar. what value of a, in degrees, will refute jennifers claim? a =

Explanation:

Step1: Calculate the third - angle of Triangle 1

The sum of angles in a triangle is \(180^{\circ}\). For Triangle 1, if two angles are \(34^{\circ}\) and \(48^{\circ}\), then the third - angle \(x = 180-(34 + 48)\).

$$x=180 - 82=98^{\circ}$$

Step2: Determine the value of \(a\) for similar triangles

For two triangles to be similar, their corresponding angles must be equal. Triangle 2 has an angle of \(34^{\circ}\). If \(a\) is equal to the non - \(34^{\circ}\) non - \(48^{\circ}\) angle of Triangle 1 (i.e., the third angle), then the triangles will be similar.

Answer:

\(98\)