Question

In the figure abc and bcd are equilateral if acd=20 find bda

Answer 1

Ответ:

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Answer 2

To find the measure of angle BDA, we can use the fact that the sum of the angles in a triangle is 180 degrees.

First, let's analyze the given information. We are told that triangles ABC and BCD are equilateral, which means that all their angles are 60 degrees.

Now, let's consider triangle ACD. We are given that angle ACD measures 20 degrees.

Since triangle ACD is equilateral, angles CAD and CDA are also 60 degrees each. Therefore, the sum of angles CAD, CDA, and ACD is 60 + 60 + 20 = 140 degrees.

Since the sum of the angles in a triangle is 180 degrees, we can subtract the sum of angles CAD, CDA, and ACD from 180 to find the measure of angle BDA.

180 - 140 = 40 degrees.

Therefore, angle BDA measures 40 degrees.