Angles 1 and 2 are a supplementary pair with the measure of angle 2 being six more than twice the measure of angle 1. What is the measure of angle 2?

58° and 122°

Step-by-step explanation:

Let the 1st angle be 'a'.

2nd angle = 6 more than twice of a = 2a + 6.

Supplementary angles add upto 180°.

=> a + (2a + 6) = 180

=> a + 2a + 6 = 180

=> 3a + 6 = 180

=> 3a = 174

=> a= 174/3 = 58

Thus, angles are:

a = 58°.

2a + 6 = 2(58°) + 6 = 122°

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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