Question

77. The angles of a triangle are in the ratio 8:3:4. What is the measure of the smallest angle?

(A) 12°
(B) 24°
36°
(D) 72°

Answer 1

The smallest angle in the triangle is 36°.

Step-by-step explanation:

The sum of the angles in a triangle is always 180 degrees. Let's assume that the three angles in the triangle are 8x, 3x, and 4x, where x is a constant. We can then set up the equation 8x + 3x + 4x = 180 to find the value of x. Solving this equation gives us x = 12.

The smallest angle in the triangle is 3x, which is equal to 3 * 12 = 36 degrees. Therefore, the measure of the smallest angle in the triangle is 36°.

Learn more about Triangle angles