Question

Using a value of X from the previous question solved to find the measure of each triangle

Answer 1

Given that X = 60 degrees, we can use this value to find the measure of each triangle.

1. Triangle ABC:
Since AB is parallel to CD, angle ACD is 60 degrees.
Therefore, the sum of angles in triangle ACD is 180 degrees and angle CAD is also 60 degrees (180 - 60 - 60 = 60 degrees).

2. Triangle BCD:
Since AB is parallel to CD, angle DCB is 60 degrees.
Therefore, the sum of angles in triangle BCD is 180 degrees and angle CDB is also 60 degrees (180 - 60 - 60 = 60 degrees).

Therefore, in both triangles ABC and BCD, two angles are equal to 60 degrees. The third angle in each triangle can be found by subtracting the sum of the other two angles from 180 degrees.

Angle ABC = 180 - 60 - 60 = 60 degrees
Angle BCD = 180 - 60 - 60 = 60 degrees

So, each triangle has two angles of 60 degrees and one angle of 60 degrees.