In a triangle, one angle is 42 degrees and the other is twice as large. Find the third angle of this triangle.

The triangle has one angle of 42 °.

Since the second angle is 2 times larger than the known angle, then in order to find the angle, you need to multiply the known angle by 2, then we get:

The second angle is 2 * 42 ° = 2 * 40 ° + 2 * 2 ° = 80 ° + 4 ° = 84 °.

Now let’s find the third corner.

In order to find the third angle, you need to subtract 2 known angles from 180 °, then we get:

180 ° – 42 ° – 84 ° = 180 ° – 40 ° – 2 ° – 80 ° – 4 ° = 100 ° – 40 ° – 2 ° – 4 ° = 60 ° – 2 ° – 4 ° = 60 ° – 6 ° = 54 °;

As a result, we got that the third angle of the triangle is 54 °.