In the diagram, m∠3 = 120° and m∠12 = 80°. Which angle measures are correct?Check all that apply.m∠1 = 60°m∠13 = 80°m∠6 = 80°m∠5 = 60°m∠10 = 120°m∠ 14 = 100°
Question
Answer:
we are given m∠3 = 120° and m∠12 = 80°we will check all Calculation of m∠1:we can see that angles 1 and 3 are linearso, their sum must be 180m∠1+m∠3 = 180°now, we can plug valuesm∠1+ 120°= 180°m∠1=60°Calculation of m∠13:we know that angles 12 and 13 are alternate anglesso, they must be equal m∠13=m∠12 = 80°m∠13= 80°Calculation of m∠6:we know that angles 3 and 6 are alternate anglesso, they must be equal m∠3=m∠6 = 120°m∠6= 120°Calculation of m∠5:we know that angles 1 and 5 are corresponding anglesso, they must be equal m∠1=m∠5 = 60°m∠5= 60°Calculation of m∠10:we can see that angles 10 and 12 are linearso, their sum must be 180m∠10+m∠12 = 180°now, we can plug valuesm∠10+ 80°= 180°m∠10=100°Calculation of m∠14:we know that angles 10 and 14 are corresponding anglesso, they must be equal m∠10=m∠14 = 100°m∠14= 100°
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11 months ago
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