katebean1234
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In the diagram below, you are given that ∠AVD = ∠BVE = ∠CVF= 90° and ∠CVD = 22°. If ∠AVB= ∠EVF, how many degrees are in the measure of ∠AVF?

In the diagram below you are given that AVD BVE CVF 90 and CVD 22 If AVB EVF how many degrees are in the measure of AVF class=

Respuesta :

Answer:

m∠AVF = 158°

Step-by-step explanation:

In the diagram attached,

m∠AVD = m∠BVE = m∠CVF = 90°

m∠CVD = 22°

∠AVB = ∠EVF

Since ∠AVD = ∠AVC + ∠CVD

Therefore, 90° = m∠AVC + 22°

m∠AVC = 90° - 22°

             = 68°

Similarly, m∠CVF = m∠CVD + m∠DVF

90° = 22° + m∠DVF

m∠DVF = 68°

m∠AVC = m∠DVF = 68°

Now ∠AVF = ∠AVD + ∠DVF

                  = 90° + 68°

                  = 158°

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