Help me find the measure of each missing angle
1 answer:
Answer:
<h3>m∠1 = 49°</h3><h3>m∠2 = 63°</h3><h3>m∠3 = 87°</h3><h3>m∠4 = 44°</h3>
Step-by-step explanation:
m∠1 = 49° (Opposite Angles)
m∠1 + m∠2 + 68° = 180° (The sum of all interior angles of any triangle is equal to 180°)
49° + m∠2 + 68° = 180°
m∠2 + 117° = 180°
m∠2 = 180° - 117°
<u>m∠2 = 63°</u>
m∠3 + 93° = 180° (The angles on a straight line add up to 180°)
m∠3 = 180° - 93°
<u>m∠3 = 87°</u>
m∠4 + 49° = 93° (An exterior angle of a triangle is equal to the sum of its two interior opposite angles.)
m∠4 = 93° - 49°
<u>m∠4 = 44°</u>
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