Respuesta :

retirEEd

Answer:

i get    mABC = 270°

Step-by-step explanation:

This is fairly straight forward once you the right angle symbol for the arc AC.  Also realizing the 148° for mAB is not needed for this question.  The 148° for mAB would be useful if you wanted to calculate arc mBC.

Remember there are 360° in a circle.  

The arc mAC is 90°

The arc mABC is the rest of the circle.       is the arc from  A to B to C

arc ABC + arc AC is the full circle 360°

     mABC + mAC  = 360°           mAC = 90°

     mABC + 90°  = 360°              - 90° from both sides

     mABC = 360° - 90°

      mABC = 270°

The angle ∠ABC in the given circle will be 270°.

What is an angle?

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

Angle is very useful to measure any angular rotational motion for example if you have to find out the rotation among the circle then it cannot measure in length parameter such that meter inch so it will be measured as an angle in a unit of degree or radian.

In another word, the angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.

Now since we know that the angle of complete rotation is 360°.

Now ∠ADC + ∠ABC = 360

Given that ∠ADC = 90°

∠ABC = 360° - 90° = 270°

Hence, 270° will be the correct answer.

For more about the angle

brainly.com/question/13954458

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