Angle  a  is circumscribed about circle  o. what is the measure of  angle ∠o?

110 Degrees

Step-by-step explanation:

1 / 3

A circumscribed angle is supplementary to the central angle that intercepts the same arc.

The reason is that ABOCABOCA, B, O, C is a quadrilateral, so its angles add up to 360^\circ360

∘

360, degrees. Each of the tangent angles, \angle B∠Bangle, B and \angle C∠Cangle, C, has a measure of 90^\circ90

∘

90, degrees.

\begin{aligned} \text{m}\angle B+ \text{m}\angle C+ \pink{\text{m}\angle A} + \blue{\text{m}\angle O} &= 360\\ 90 + 90 + \pink{\text{m}\angle A} + \blue{\text{m}\angle O} &= 360\\ \pink{\text{m}\angle A} + \blue{\text{m}\angle O} &= 180\\ \end{aligned}

m∠B+m∠C+m∠A+m∠O

90+90+m∠A+m∠O

m∠A+m∠O

=360

=360

=180

Hint #22 / 3

\pink{70^\circ} + \blue{\text{m}\angle O}= 180^\circ70

∘

+m∠O=180

∘

start color #ff00af, 70, degrees, end color #ff00af, plus, start color #6495ed, start text, m, end text, angle, O, end color #6495ed, equals, 180, degrees

Hint #33 / 3

\blue{\text{m}\angle O} = \blue{110^\circ}m∠O=110

∘

236 cm 16 time 12 = 192

6 times 7 = 42

192+42