Question

Help me solve these two find the value of x please help

Answer 1

Hi there!

`\large\boxed{\text{x = 12, x = 5}}`

Problem 1:

The angles pictured are vertical angles, so each will be equivalent. Therefore:

(5x + 5)° = 65°

Subtract 5 from both sides:

5x = 60

Divide both sides by 5:

x = 12°.

Problem 2:

The two angles are supplementary, so they add up to 180°. Therefore:

180° = (9x)° + (12x + 75)°

180 = 9x + 12x + 75

Combine like terms:

180 = 21x + 75

Subtract 75 from both sides:

105 = 21x

Divide both sides by 21:

x = 5°.