Question

This is a very hard math question. Whoever answers correctly will get a brainlist too! Find the value of b. Then find the angle measures of the pentagon.

Answer 1

Answer:

Below

Step-by-step explanation:

The sum of the 5 angles is 540°

● b+(b+45)+90+(2b-90)+(3/2)b = 540

3/2 is 1.5

● b+b+45+90+2b-90+1.5b = 540

● 2b +45+2b+1.5b = 540

● 5.5 b +45 = 540

● 5.5b = 495

● b = 495/5.5

● b = 90°

Answer 2

Answer:

b = 90

Step-by-step explanation:

b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540

b + b + 45 + 90 + 2b - 90 + (3/2)b - 90 = 540 - 90

b + b + 45 + 2b - 90 + (3/2)b = 450

2b + 2b + (45 * 2) + (2 *2b) - (90 * 2) + (2 * (3/2)b) = 450 * 2

2b + 2b + 90 + 4b - 180 + 3b = 900

11b - 90 = 900

11b - 90 + 90 = 900 + 90

11b = 990

b = 990 / 11

b = 90

check:

b + (b + 45) + 90 + (2b - 90) + (3/2)b = 540

90 + (90 + 45) + 90 + (2*90 - 90) + (3/2)*90 = 540

90 + 135 + 90 + 90 + 135 = 540

540 = 540  --- OK