Question

2. What is the value of x in this diagram?

4yº
7x +7°
017
015
105
68
112°
(1 point)
K

Answer 1

`\huge\boxed{\sf x = 15}`

Explanation:

Statement:

• Angles on a straight line add up to 180 degrees.

Solution:

4y + 112 = 180 (Angles on a straight line)

• Subtract 112 from both sides

4y = 180 - 112

4y = 68

• Divide both sides by 4

y = 68/4

y = 17

Also,

4y + 7x + 7 = 180 (Angles on a straight line)

4(17) + 7x + 7 = 180

68 + 7x + 7 = 180

7x + 75 = 180

• Subtract 75 from both sides

7x = 180 - 75

7x = 105

• Divide both sides by 7

x = 15

`\rule[225]{225}{2}`