#### Answer

True

#### Work Step by Step

Step 1: Since tangent and cotangent are cofunctions, the sum of their angles is equal to $90^{\circ}$,
$(90^{\circ}-35^{\circ})+35^{\circ}=90^{\circ}$
Step 2: Solving, $55^{\circ}+35^{\circ}=90^{\circ}$
Step 3: $90^{\circ}=90^{\circ}$
Step 4: Therefore, the statement is true.