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find the measure of angles 2, 3, and 4. input the measures then click done. i-ready

please help i missed a day of class i cant figure this out

Find The Measure Of Angles 2 3 And 4 Input The Measures Then Click Done Ireadyplease Help I Missed A Day Of Class I Cant Figure This Out class=

Sagot :

Semsee45idn

Answer:

m∠2 = 95°

m∠3 = 85°

m∠4 = 95°

Step-by-step explanation:

Vertical Angle Theorem:

When two straight lines intersect, the opposite vertical angles formed are always equal (congruent) to each other.

Therefore,

m∠3 = 85°

m∠2 = m∠4

Linear pair:

Two adjacent angles which, when combined, form a line, so the sum of a linear pair is 180°.

Therefore,

85° + m∠2 = 180°

m∠3 + m∠4 = 180°

If  85° + m∠2 = 180°

⇒ m∠2 = 180° - 85°

⇒ m∠2 = 95°

As  m∠2 = m∠4  then  m∠4 = 95°

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