what is m∠1? m∠1 = □°
what is m∠1? m∠1 = □°
Answer
Explanation:
Step1: Find the adjacent - interior angle
The adjacent - interior angle to the 146° exterior angle forms a linear pair. A linear pair of angles sums to 180°. Let the adjacent - interior angle be ∠2. So, ∠2=180° - 146° = 34°.
Step2: Use the angle - sum property of a triangle
The sum of the interior angles of a triangle is 180°. In the triangle, we know one angle is 42° and another is ∠2 = 34°. Let ∠1 be the unknown angle. Then, ∠1=180°-(42° + 34°). ∠1=180° - 76° = 104°.
Answer:
104