Question

in a traingle one angle is 5 more than a number the second angle is twice the measure of the first angle the third angle measures 99 degrees find the measures of each angle

Answer 1

The first angle is 27 degrees, the second angle is 54 degrees, and the third angle is 99 degrees.

Step-by-step explanation:

Let the first angle be represented by x.

The second angle is twice the measure of the first angle, so it is 2x.

The third angle measures 99 degrees.

Since the sum of the angles in a triangle is 180 degrees, we can write an equation:

x + 2x + 99 = 180

Combining like terms, we get:

3x + 99 = 180

Subtracting 99 from both sides, we have:

3x = 81

Dividing by 3, we find:

x = 27

Therefore, the first angle is 27 degrees, the second angle is 2(27) = 54 degrees, and the third angle is 99 degrees.