Final answer:
To find the value of a in the rhombus PQRS, you need to solve the equation 6a + 38 = m4RSQ.
Step-by-step explanation:
To find the value of a, we need to find the measure of angle PQT in terms of a. Since quadrilateral PQRS is a rhombus, opposite angles are congruent. Therefore, m4PQT = m4RSQ. We can use this information to set up an equation:
6a + 38 = m4RSQ
To find the value of a, we need to solve for it. Subtracting 38 from both sides, we get:
6a = m4RSQ - 38
Dividing both sides by 6, we get:
a = (m4RSQ - 38) / 6