Subjects geometry

Triangle Angle 26Bb31

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Question: For the triangle below, the measure of angle C is $33^\circ$ and the measure of angle B is $70^\circ$. Find the measure of angle A.
1. **State the problem:** We are given a triangle with angles $C = 33^\circ$ and $B = 70^\circ$. We need to find the measure of angle $A$. 2. **Recall the triangle angle sum rule:** The sum of the interior angles of any triangle is always $180^\circ$. This means: $$A + B + C = 180^\circ$$ 3. **Substitute the known values:** $$A + 70^\circ + 33^\circ = 180^\circ$$ 4. **Simplify the sum of known angles:** $$A + 103^\circ = 180^\circ$$ 5. **Isolate angle $A$ by subtracting $103^\circ$ from both sides:** $$A = 180^\circ - 103^\circ$$ 6. **Calculate the value:** $$A = 77^\circ$$ **Final answer:** The measure of angle $A$ is $77^\circ$.
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