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

Respuesta :

Answer:

137°

Step-by-step explanation:

Opposite angles of inscribed (cyclic) quadrilateral are supplementary.

m∠R + m∠P = m∠O + m∠Q = 180°

Substitute and solve for y:

3y + 8 + y = 180

4y + 8 = 180

4y = 172

y = 172/4

y = 43

Find the measure of angle R:

m∠R = 180 - 43 = 137

Step-by-step explanation:

mhanifa

Answer:

  • 137°

Step-by-step explanation:

Opposite angles of inscribed (cyclic) quadrilateral are supplementary.

  • m∠R + m∠P = m∠O + m∠Q = 180°

Substitute and solve for y:

  • 3y + 8 + y = 180
  • 4y + 8 = 180
  • 4y = 172
  • y = 172/4
  • y = 43

Find the measure of angle R:

  • m∠R = 180 - 43 = 137
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