Question

40. What is the value of x?
(7x – 8)°
(6x +11°)
Drawing not to scale

Answer 1

x= 19

Explanation:

Recall the Vertical Angles Theorem which states that when two lines intersect, vertical angles are congruent. In this case, 7x-8 and 6x +11 are vertical angles, so they are congruent. We can conclude that an equation can be made to find the value of x where:

`7x-8=6x+11`

Solve out the equation to find the value of x.

`7x-8+8=6x+11+8`

`7x=6x+19`

`7x-6x=6x+19-6x`

`x=19`

Answer 2

• The value of x is 19.

Explanation:

We know that both of these expressions are equal because of vertically opposite angles. Let's solve.

• => 7x - 8 = 6x + 11
• => 7x - 6x = 19
• => x = 19

Hence, the value of x is 19.

Hoped this helped.

`BrainiacUser1357`