Let's analyze the given diagram, where ABGH ≅ CDEF.
We want to find the value of x. To do so, we will use the fact that corresponding angles have equal measures and corresponding sides have equal lengths. From the given congruence statement, we know that angle H is congruent to angle F. This means that both angles have the same measure.
m∠ H = m∠ F
We will substitute m∠ H= 4x+5 and m∠ F= 105 into the above equation and solve for x. Let's do it!
We get that m∠ H=105. Therefore, our answer is correct. More information about the concepts shown in this solution can be found on the following pages.
