In a triangle, the measure of the second angle is twice the measure of the first angle. the third angel is equal to the sum of the other angels

So the angles have measurements 30,60, and 90 degrees.

Step-by-step explanation:

We have a triangle which means the interior angles of that triangle has sum 180 degrees.

Let's call the angle measurements: A, B, and C.

A+B+C=180

B=2A (The second angle is twice the first.)

C=A+B (The third angle is the sum of the other 2.)

If C=A+B, then C=A+2A (since B=2A).

So we have this system:

A+B+C=180

B=2A

C=3A (since C=A+2A=3a).

Now I'm going to use the first equation A+B+C=180 and plug in the other equations we have below it:

A+B+C=180 with B=2A and C=3A.

A+2A+3A=180

6A=180

Divide both sides by 6:

A=180/6

A=30

If B=2A and A=30, then B=2 (30) = 60.

If C=3A and A=30, then C=3 (30) = 90.

So the angles have measurements 30,60, and 90 degrees.