Question

Find each of the base angles in degrees and radians of an isosceles triangle whose vertical angle
4/7
is of its base angle​

Answer 1

Answer:

Isosceles triangle has two sides of equal length. The two base angles of the triangle are equal. The sum of the angles of a triangle is equal to 180 degrees in plane geometry.

With an isosceles triangle, I believe two of the internal angles are equal to each other measured in degrees or radians. Let’s assume the base angle is one of the two equal angles. Consequently, if we say that one of these angles is equal to x degrees then the other is equal to x degrees, and the vertical angle is equal to 4x degrees. Add these together gives us 6x degrees which are equal to 180 degrees. Set 6x equal to 180 degrees and therefore the base angle is equal to 30 degrees. the other base angle is equal to 30 degrees and therefore the vertical angle is equal to 120 degrees

Step-by-step explanation: