Subjects geometry

Missing Angle D04D51

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1. **State the problem:** We have two triangles side by side. The left triangle has angles 60° and 65°, and the right triangle has angles 35° and 50°, with the third angle unknown. We need to find the missing angle in the right triangle. 2. **Recall the triangle angle sum rule:** The sum of the interior angles in any triangle is always 180°. This means for any triangle with angles $A$, $B$, and $C$, we have: $$A + B + C = 180^\circ$$ 3. **Find the missing angle in the left triangle:** Given angles: 60° and 65° $$\text{Missing angle} = 180^\circ - (60^\circ + 65^\circ) = 180^\circ - 125^\circ = 55^\circ$$ 4. **Find the missing angle in the right triangle:** Given angles: 35° and 50° $$\text{Missing angle} = 180^\circ - (35^\circ + 50^\circ) = 180^\circ - 85^\circ = 95^\circ$$ 5. **Answer:** The missing angle in the right triangle is **95°**. This is because the sum of angles in a triangle must always be 180°, so subtracting the known angles from 180° gives the missing angle.