If angle a of a triangle is x, angle b is 2x, and angle c is (3/4)x, then what is the measure of angle b. In the problem, I need to solve how angle b is equal to 96 degrees. The 96 was a given but how do I solve that to firgure it out using a two column proof?

Given:

Angle a of a triangle is x, angle b is 2x, and angle c is (3/4)x.

To find:

The measure of angle b.

Solution:

The two column proof is

     Statement                                          Reason

1.                  1. Given

2.                          2. Angle sum property

3.                                        3. Combining like terms

4.                                         4. Multiplying both sides by 4.

5.                                              5. Dividing both sides by 15.

6.                  6. On substituting the value of x in 2x.

Therefore, the measure of angle b is 96°.

congruent segments

step-by-step explanation: