Question

The angles of a triangle measure (x + 10), (x + 20), and (x + 30). Find the measure of the smallest angle.

A. 50

B. 60

C. 40

D. 70

Answer 1

The sum of the angles in a triangle is always 180 degrees.

Therefore, we can write an equation:

(x + 10) + (x + 20) + (x + 30) = 180

Simplifying the equation, we get:

3x + 60 = 180

Subtracting 60 from both sides, we get:

3x = 120

Dividing both sides by 3, we get:

x = 40

To find the measure of the smallest angle, we substitute x = 40 into the expression (x + 10):

40 + 10 = 50

Therefore, the measure of the smallest angle is 50 degrees.

The correct answer is A. 50.