Given that m<A=4x+14 and m<C=6x−24 what is the value of x ?

Question

Answer 1

The measure of both of these angles is 90 degrees, you can tell by the symbols that are shown where the diagonals intersect and on the C angle. So you have the following 2 equations with that information that you can solve for x.

4x+14=90 Subtract 14 from both sides

4x=76 Divide by 4

x=19

6x-24=90 Add 24 to both sides

6x=114 Divide both sides by 6

x=19