in a triangle, the measure of the first angle is twice the measure of the second.the measure of a third triangle is 64 degrees more than athe measure of the second angle. Use the facts that the sum of the measures of the three angles of a triangle is 180 degrees to find the measure of each angle. What is the answer

Question

in a triangle, the measure of the first angle is twice the measure of the second.the measure of a third triangle is 64 degrees more than athe measure of the second angle. Use the facts that the sum of the measures of the three angles of a triangle is 180 degrees to find the measure of each angle. What is the answer

Answer 1

second angel --- x

first angle ------ 2x
third angle ----- x+64

x + 2x + x+64 = 180

should be easy to solve for x

Answer 2

To find the measure of each angle in the triangle, we can follow these steps:

Let's assume the measure of the second angle is x degrees.

1. The first angle is twice the measure of the second angle, so it would be 2x degrees.
2. The measure of the third angle is 64 degrees more than the second angle, so it would be x + 64 degrees.

Now, we can use the fact that the sum of the measures of the three angles of a triangle is 180 degrees:

x + 2x + (x + 64) = 180

Simplifying the equation:

4x + 64 = 180

Subtracting 64 from both sides:

4x = 116

Dividing both sides by 4:

x = 29

Therefore, the second angle measures 29 degrees.
The first angle is twice the measure of the second angle, so it measures 2 * 29 = 58 degrees.
The third angle is 64 degrees more than the second angle, so it measures 29 + 64 = 93 degrees.

So, the measures of the three angles are: 29 degrees, 58 degrees, and 93 degrees.