Question

Solving for Unknown Angles

Lines x and y are parallel.

Parallel lines x and y are intersected by lines s and t. At the intersection of lines x, t, and s, clockwise from top left, the angles are blank, blank, (6 x + 8) degrees, blank, (7x minus 2) degrees, blank. At the intersection of lines x and y, the angles are 106 degrees, 1, blank, blank. At the intersection of lines y and t, the angles are 2, blank, blank, blank.

Use the diagram to determine the measure of the unknown angle.

m∠1 = (6x + 8)°

m∠1 = 74°

What is the value of x?


What is the measure of ∠2?
(7x - 2)° + m∠2 = 106°

m∠2 =
°

Answer 1

x=11

Explanation:

Answer 2

x=11

Explanation:

x=11 because, 6x+8= 74, so you do 74-8=66 and 66/6= 11. so x=11,

the measure of 2 is 7(11)-2+m=106.

so you add 2 on both sides to cancel it out, and you end up with 7(11)+m=108

now you do 7(11)= 77, and you subtract from both sides and get 31.

therefore, m=31.

hope this helps!