awsomesaucek2020
Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Our platform offers a seamless experience for finding reliable answers from a network of experienced professionals. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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

Please Please Please Helpppp Please Show Work If You Can class=

Sagot :

absor201

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

[tex]\left(2x+6\right)+\left(9x-4\right)=68[/tex]

Group like terms

[tex]2x+9x+6-4=68[/tex]

[tex]11x+2=68[/tex]

Subtract 2 from both sides

[tex]11x+2-2=68-2[/tex]

Simplify

[tex]11x=66[/tex]

Divide both sides by 11

[tex]\frac{11x}{11}=\frac{66}{11}[/tex]

Simplify

[tex]x=6[/tex]

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.

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.