1. **State the problem:** We have a quadrilateral with four angles: 70°, 76°, 90°, and an unknown angle $r$. We need to find the value of $r$.
2. **Recall the formula:** The sum of the interior angles of any quadrilateral is always 360°. This is given by:
$$70^\circ + 76^\circ + 90^\circ + r = 360^\circ$$
3. **Add the known angles:**
$$70 + 76 + 90 = 236$$
4. **Set up the equation to solve for $r$:**
$$236 + r = 360$$
5. **Isolate $r$ by subtracting 236 from both sides:**
$$r = 360 - 236$$
6. **Calculate the value:**
$$r = 124$$
**Final answer:**
$$r = 124^\circ$$
Angle Quadrilateral 5483Ff
Step-by-step solutions with LaTeX - clean, fast, and student-friendly.