Question

Is the triangle within theparallel lines an isoscelestriangle? Justify your answer.60°55°xº

Answer 1

The triangle is not isosceles

Step-by-step explanation:

The initial figure is:

Now, the angle with measure 55° and angle A are vertically opposite angles. It means that these angles have the same measure. So, angle A has a measure of 55°.

In the same way. Angle x and B are vertically opposite angles. So, angle B has a measure of x°

Then, the sum of the interior angles of a triangle is always 180°. It means that:

A + B + 60° = 180°

55° + x° + 60° = 180°

Solving for x, we get:

115° + x° = 180°

x° = 180° - 115°

x° = 65°

Finally, a triangle isosceles if two of its interior angles have the same measure. Since the measures of the interior angles of the triangle are 60°, 55°, and 65°, the triangle is not isosceles.