Two parallel lines are crossed by a transversal.

horizontal and parallel lines b and c are cut by transversal a. at the intersection of lines b and a, the bottom left angle is (5 x + 5) degrees. at the intersection of lines c and a, the bottom right angle is 115 degrees.
what is the value of x?

Step-by-step explanation:

b//c;  a is transversal

5x + 5 + 115 = 180    { 5x+5 and 115 are supplementary angles}

5x + 120 = 180

5x = 180 -120

5x = 60

x = 60/5

x =12

80° is the measure of gh

step-by-step explanation:

circle f is congruent to circle j

we have two circle with center f and j.

both circles are congruent. the radius of the circle would be equal.

see the attachment for the circle.

we are given ∠efd ≅ ∠gjh

therefore, arc (ed) = arc (gh)     (∴ circle f is congruent to circle j)

but ∠dfe=80°=arc (ed)

therefore, arc (gh) = 80°

thus, 80° is the measure of gh