Subjects geometry

Angle 1 Measure C7E32E

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1. The problem asks to find the measure of angle 1 in a triangle where the other two angles are given as 70° and 56°. 2. Recall the Triangle Angle Sum Theorem: The sum of the interior angles of a triangle is always 180°. This means: $$m\angle 1 + 70 + 56 = 180$$ 3. To find $m\angle 1$, subtract the sum of the known angles from 180°: $$m\angle 1 = 180 - (70 + 56)$$ 4. Calculate the sum inside the parentheses: $$70 + 56 = 126$$ 5. Subtract to find $m\angle 1$: $$m\angle 1 = 180 - 126 = 54$$ 6. Therefore, the measure of angle 1 is 54°.