Angles A and B are corresponding angles formed by two parallel lines cut by a transversal. If angle A=4x and Angle B=3x+7, find the value of x. Explain

Answer 1

CORRESPONDING ANGLES formed by two parallel lines cut by a transversal ARE EQUAL.

Angle A = Angle B

4x = 3x + 7

x = 7

This makes Angle A = 28° and Angle B = 28°

Answer 2

Hi there!

For any two angles formed by a transversal, the sum of their measures must be supplementary – that is, their sums must be 180°. It's easy to picture this geometrically: a straight line is always 180°, so if it's cut into two angles they must add up to be that same 180°.

From here, we can set up a simple algebraic expression to satisfy this requirement and solve for x:

(1) A + B = 180

(2) 4x + 3x + 7 = 180

I hope this helped. Let me know if you have any more questions!