Question

Solve this exercise using the fact that the sum of the

measures of the three angles of a triangle is 180°.
In a triangle, the measures of the three angles are x, x - 16,
and x +4. What is the measure of each angle?
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The measure of the first angle, x, is
The measure of the second angle. x - 16, isº
The measure of the third angle, x + 4, is
O

Answer 1

The measures of the angles in the triangle are 64°, 48°, and 68°.

Step-by-step explanation:

The sum of the measures of the three angles in a triangle is always 180°. Let's use this fact to solve the exercise.

Given that the three angles in the triangle have measures x, x - 16, and x + 4, we can set up the equation:

x + (x - 16) + (x + 4) = 180

Simplifying the equation:

1. Combine like terms: 3x - 12 = 180
2. Add 12 to both sides: 3x = 192
3. Divide by 3: x = 64

Therefore, the measure of the first angle, x, is 64°. The measure of the second angle, x - 16, is 48°. The measure of the third angle, x + 4, is 68°.

Learn more about Triangle angles