ill give aomethe brainlest answer

The measure of the indicated angle is 142°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon is

∑m = (n - 2) × 180°, where

In the given figure

∵ The polygon has 6 angles

∴ n = 6

→ Use the rule above to find the sum of the measures of its interior ∠s

∵ ∑m = (6 -2) × 180°

∴ ∑m = 4 × 180°

∴ ∑m = 720°

∵ The measures of its interior ∠s are (2x - 50)°, (x + 40), 80°, (x + 20)°,

   x°, 150°

→ Add them to find their sum

∴ ∑m = 2x - 50 + x + 40 + 80 + x + 20 + x + 150

→ Add the like terms in the right side

∴ ∑m = (2x + x + x + x) + (-50 + 40 + 80 + 20 + 150)

∴ ∑m = 5x + 240

→ Equate the right sides of ∑m

∵ 5x + 240 = 720

→ Subtract 240 from both sides

∴ 5x + 240 - 240 = 720 - 240

∴ 5x = 480

→ Divide both sides by 5

∴ x = 96

→ To find the indicated angle substitute x in its measure by 96

∵ The measure of the indicated angle = 2(96) - 50

∴ The measure of the indicated angle = 192 - 50

∴ The measure of the indicated angle = 142°

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500