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PLEASE HELP ! WILL GIVE 100 POINTS + BRAINLIEST ! Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle O? You must show all work and calculations to receive credit.

PLEASE HELP WILL GIVE 100 POINTS BRAINLIEST Quadrilateral OPQR is inscribed inside a circle as shown below What is the measure of angle O You must show all work class=

Respuesta :

mhanifa

Answer:

  • 88°

Step-by-step explanation:

The quadrilateral OPQR is cyclic quadrilateral.

It has a property that opposite angles are supplementary.

The angles O and Q sum to 180°:

  • 2x+ 2x + 4° = 180°
  • 4x = 176°
  • x = 176°/4
  • x = 44°

The angle O measures:

  • 2*44° = 88°
evalgraunke

Answer:

Angle O = 88°

Step-by-step explanation:

∠O + ∠Q = 180°

(2x) + (2x + 4) = 180

4x + 4 = 180

4x = 176

x = 44

∠R + ∠P = 180°

(3y + 8) + (y) = 180

4y + 8 = 180

4y = 172

y = 43

Angle O:

= 2x

= 2 (44)

= 88°

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