Question

Please solve and explain steps I am so lost thank you

Answer 1

X =1
58-7x=54-3x (alternating angles are equal)
58-7x=54-3x
58-7x+7x=54-3x+7x
58=54+4x
58-54=54-54+4x
4=4x
1=x

I hope this helps

Answer 2

Answer: x=1

Explanation:

Given: MN || OP, m<MQR = 58-7x, m<QRP = 54-3x

Since we know that lines MN and OP are parallel, we know that m<MQR and m<QRP are equal because of alternate interior angles theorem.

Since those two angles are equation we can create an equation to solve.

58-7x=54-3x

Subtract 54 from both sides, add 7x to both sides

4=4x

Divided by 4

x=1

Hope that helps! :)

Let me know if you need help understanding or a clearer explanation!