The second angle of a triangle is 3 times as large as the first. the third angle is 50° more than the first. find the measure of the smallest angle

Your smallest angle is 26°

Angles in a triangle add up to 180°. This means:

Angle1 + Angle2 + Angle3 = 180°

The second angle of a triangle is 3 times as large as the first.

Angle2 = 3 * Angle1

The third angle is 50° more than the first.

Angle3 = Angle1 + 50°

Substitute these into the first formula, in terms of Angle1.

Angle1 + (3 * Angle1) + (Angle1 + 50°) = 180°

Expand and simplify.

5 * Angle1 + 50° = 180°

Put it into the formula Ax = B. You will have all the variables on one side and the integers on the other.

5 * Angle1 + 50° = 180°

5 * Angle1 + 50° - 50° = 180° - 50°

5 * Angle1 = 130°

Put it into the formula x = b. Solve to find 1 of the variable.

5 * Angle1 = 130°

5 * Angle1 / 5 = 130° / 5

Angle1 = 26°

Check this is right by substituting into the given formulas.

Angle2 = 3 * Angle1

Angle2 = 3 * 26

78 = 3 * 26

Angle3 = Angle1 + 50°

Angle3 = 26 + 50°

76 = 26 + 50°

Angle1 + Angle2 + Angle3 = 180°

26 + 78 + 76 = 180°

well there are two answers for that.

1: you need 120 ones then that will equal up to 120.

2: you could also do one 100 and 2 tens.

those are the answers that i have thought of.

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b