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Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle Q? You must show all work and calculations to receive credit.

Quadrilateral OPQR is inscribed inside a circle as shown below What is the measure of angle Q You must show all work and calculations to receive credit class=

Respuesta :

Answer:

the measure of angle Q = 92°

Step-by-step explanation:

The quadrilateral OPQR is inscribed inside a circle, then its opposite angles are supplementary.

………………………………

Then

m∠O + m∠Q = 180

Then

2x + (2x+4) = 180

Then

4x + 4 = 180

Then

4x = 180 - 4

Then

4x = 176

Then

x = 176/4

Then

x = 44

Therefore

m∠Q = 2(44) + 4 = 88 + 4 = 92°