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If m<9 = 97° and m<12 = 114°, find the measure of each missing angle.

If Mlt9 97 And Mlt12 114 Find The Measure Of Each Missing Angle class=

Sagot :

1) Since we have a pair of parallel lines cut by transversal ones then we can state the following conclusions about the angles formed

2) Let's set our table

m∠1

m∠2

m∠3

m∠4

m∠5 = 83º ∠9 and ∠10 are supplementary angles

m∠6 = 97º ∠6 and ∠7 are consecutive interior angles (supplementary)

m∠7 = 114º ∠7 and ∠12 are alternate interior angles (congruent)

m∠8 =66º ∠8 and ∠11 are alternate interior angles (congruent)

m∠9 =97º Given

m∠10 = 180 - 97 =83º ∠9 and ∠10 are supplementary angles

m∠11 = 180º -114º = 66º ∠11 and ∠12 are supplementary angles

m∠12 = 114º Given

m∠13 = 83º ∠10 and ∠13 are Vertical angles

m∠14 = 97º ∠9 and ∠14 are Vertical angles

m∠15= 114º ∠12 and ∠15 are Vertical angles

m∠16 = 66º ∠11 and ∠16 are Vertical angles

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