150k views
0 votes
Solve for x. Then find m (8x+4)°

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

Solve for x. Then find m (8x+4)° (10x-6)° Both lines are intersecting and the two-example-1

2 Answers

0 votes

Solution:

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 mQRT to find the degree


(8x + 4 )° → (8(5) + 4)°

Therefore: m∠QRT = 44°

I hope this helps

User Richard Grossman
by
8.0k points
2 votes

Answer:

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!

User Rpyzh
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories