Question

Please please please helpppp, (please show work if you can)

Answer 1

∴ m∠KIJ = 18° and m∠HIJ = 50°

Thus, option a is correct.

Explanation:

From the figure, it is clear that:

m∠KIH = m∠HIJ + m∠KIJ

Given

• m∠KIH = 68°

• m∠KIJ = (2x + 6)°

• m∠HIJ = (9x - 4)°

now substituting m∠KIH = 68°, m∠KIJ = (2x + 6)° and m∠HIJ = (9x - 4)° in the equation

m∠KIH = m∠HIJ + m∠KIJ

68° = (2x + 6)° + (9x - 4)°

switch sides

`\left(2x+6\right)+\left(9x-4\right)=68`

Group like terms

`2x+9x+6-4=68`

`11x+2=68`

Subtract 2 from both sides

`11x+2-2=68-2`

Simplify

`11x=66`

Divide both sides by 11

`(11x)/(11)=(66)/(11)`

Simplify

`x=6`

Hence, the value of x = 6

Therefore,

m∠KIJ = (2x + 6)° = 2(6) + 6 = 12 + 6 = 18°

m∠HIJ = (9x - 4)° = 9(6) - 4 = 54 - 4 = 50°

∴ m∠KIJ = 18° and m∠HIJ = 50°

Thus, option a is correct.