Two lines are intersected by a third line. two horizontal parallel lines are intersected by a third line. the third line intersects the top line and forms 4 angles. labeled clockwise, from uppercase left, the angles are 1, 2, 4, 3. the third line intersects the bottom line and forms 4 angles. labeled clockwise, from uppercase left, the angles are 5, 6, 8, 7. if angle2 is-congruent-to angle6, which must be true about angle2?

Angle 2 is corresponding angle to angle 6 because they are in matching corners

Step-by-step explanation:

When two parallel lines are crossed by another line (transverse line), the angles at matching corners are congruent and are called corresponding angles.

In the question, other corresponding angles are 1 and 5, 7 and 3 and 8 and 4

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180