Question

Find the measures of the interior angles to the nearest tenth. ( Drawing is not to scale)

Answer 1

6). Option (B)

7). Option (C)

Explanation:

6) Property of a triangle :

"Sum of all interior angles is 180°"

(x + 2)° + (2x + 2)° + (2x - 1)° = 180°

5x + 3 = 180°

5x = 177°

x =
`(177)/(5)=35.4`

(x + 2)° = 37.4°

(2x - 1)° = 69.8°

(2x + 2)° = 72.8°

Option (B) is the answer.

7). (4x + 2)° + (2x + 1)° + (x - 1)° = 180°

7x + 2 = 180°

7x = 178°

x =
`(178)/(7)= 25.43`

(4x + 2)° = 103.7

(2x + 1)° = 51.9°

(x - 1)° = 24.4°

Option (C) will be the answer.