Question

Answer fast!! Find the measure of the vertex angle in the figure below.

Triangle

34°

73°

68°

112°

Answer 1

Explanation:

First, we need to know that the figure is an isosceles triangle.

What is an isosceles triangle?

An isosceles triangle has two equal sides and two equal angles. The vertex angle is the angle between the two equal sides, and the base angles are the angles opposite to the equal sides.

Secondly, we need to use the fact that the sum of the angles of any triangle is 180 degrees. This means that the vertex angle plus the two base angles equals 180 degrees. The formula is:

• V + B + B = 180

Thirdly, we need to use the information that one of the base angles is 34 degrees. Since the base angles are equal, this means that the other base angle is also 34 degrees. You can plug these values into the formula and solve for V:

• V + 34 + 34 = 180

• V + 68 = 180

• 180 - 68 = V

• 112 = V

Therefore, the measure of the vertex angle is 112 degrees.