Question

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

Answer 1

Answer:

∴ m∠KIJ = 18°  and   m∠HIJ = 50°

Thus, option a is correct.

Step-by-step 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

$\frac{11x}{11}=\frac{66}{11}$

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.