Question

The measure of the angles of a

triangle are in the extended ratio
of: (2x)º, (10x)º, (12x)º. Find the
angle measure of the SMALLEST
angle in the triangle.(round your
answer to the nearest tenth and
do not put degrees in your answer
because that will already be
assumed!)
Type your answer...

Answer 1

The smallest angle in the triangle measures 15°.

Step-by-step explanation:

A triangle has three angles. Let's assume the angles of the triangle are (2x)°, (10x)°, and (12x)°.

The sum of the angles of a triangle is always 180°. Therefore, we can set up the equation:

(2x) + (10x) + (12x) = 180

Combine like terms and solve for x:

24x = 180

x = 7.5

Now substitute the value of x back into the three angles:

Smallest angle = (2x)° = 2(7.5) = 15°

Learn more about Triangle angles