Quadrilateral bird is inscribed in circle o. what is the measure of angle d?

    ∠D = 63°

Step-by-step explanation:

Because all four corners of the quadrilateral rest on the circumference of the circle, then BIRD is a cyclic quadrilateral (circle theorem).

According to circle theorem, opposite angles of a cyclic quadrilateral are supplementary (sum to 180°).

∴  ∠I + ∠D = 180°

       ⇒ ∠D = 180° - ∠I

       ⇒ ∠D = 180° - 117°  (since ∡I = 117°)

        ∴ ∠D = 63°

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step-by-step explanation:

constant acceleration- a

constant velocity- c

no velocity or acceleration- b

explanation:

for body moving with a constant acceleration, the rate of change of displacement changes over time. this is proven by the increasing gradient of the curve (a) against time.

a body that is moving at constant velocity covers equal distances over equal periods of time, thus the straight line with a constant gradient c.

a stationary body   covers no displacement as time elapses. thus the flat line with   zero gradient.