Question

Solve for x. Then find m (8x+4)°

(10x-6)°
Both lines are intersecting and the two equations are vertical pairs

Answer 1

From the image,
`(8x + 4 )° = (10x - 6)°`

Reason: Vertically opposite angles are equal.

Now, we solve for x

`8x + 4 = 10x - 6`

collect like terms

`4 + 6 = 10x - 8x`

`→ 10 = 2x`

Divide both sides by the coefficient of x to find the value of x

`x = 5`

Now, substitute for the value of x in the expression for m∠QRT to find the degree

`(8x + 4 )° → (8(5) + 4)°`

Therefore: m∠QRT = 44°

I hope this helps

Answer 2

x = 5

m∠QRT = 44

Explanation:

8x + 4 = 10x - 6

-10x -10x

------------------------

-2x + 4 = -6

-4 -4

---------------------

-2x = -10

÷-2 ÷-2

--------------------

x = 5

m∠QRT

8x + 4

8(5) + 4

40 + 4 = 44

I hope this helps!