Question

Solve an equation to find the missing angle

Answer 1

11.

`6x = 30 \\ x = (30)/(6) \\ x = 5`

Missing angle:

`6x \\ = 6 * 5 \\ = 30`

_________________________________________

12.

`(4 + 5x) + (x + 2) = 180 \\ 6x + 6 = 180 \\ 6x = 180 - 6 \\ 6x = 174 \\ x = (174)/(6) \\ x = 29`

Missing angle 1:

`(4 + 5x) \\ = 4 + (5 * 29) \\ = 4 + 145 \\ = 149`

Missing angle 2:

`x + 2 \\ = 29 + 2 \\ = 31`

_________________________________________

13.

`5x + (3x + 12) = 180 \\ 8x + 12 = 180 \\ 8x = 180 - 12 \\ 8x = 168 \\ x = (168)/(8) \\ x = 21`

Missing angle 1:

`5x \\ = 5 * 21 \\ = 105`

Missing angle 2:

`(3x + 12) \\ = (3 * 21) + 12 \\ = 63 + 12 \\ = 75`

_________________________________________

14.

`32 + (6x + 4) = 90 \\ 36 + 6x = 90 \\ 6x = 90 - 36 \\ 6x = 54 \\ x = (54)/(6) \\ x = 9`

Missing angle:

`(6x + 4) \\ = (6 * 9) + 4 \\ = 54 + 4 \\ = 58`

_________________________________________

15.

`(2x + 1) + (x + 2) = 90 \\ 3x + 3 = 90 \\ 3x = 90 - 3 \\ 3x = 87 \\ x = (87)/(3) \\ x = 29`

Missing angle 1:

`(2x + 1 ) \\ = ( 2 * 29) + 1 \\ = 58 + 1 \\ = 59`

Missing angle 2:

`x + 2 \\ = 29 + 2 \\ = 31`

_________________________________________

16.

`(3x + 1) + (4 + 2x) = 90 \\ 5x + 5 = 90 \\ 5x = 90 - 5 \\ 5x = 85 \\ x = (85)/(5) \\ x = 17`

Missing angle 1:

`(3x + 1) \\ = (3 * 17) + 1 \\ = 51 + 1 \\ = 52`

Missing angle 2:

`(4 + 2x) \\ = 4 + (2 * 17) \\ = 4 + 34 \\ = 38`