Mathematics High School

Find m ∠ B if mAB = 120° and m ∠ A= 42º.


A)78°
B)80
C)18
D)156

Find M B If MAB = 120 And M A= 42.A)78B)80C)18D)156

Answers

Answer 1

Answer:

∠B = 78°

Step-by-step explanation:

∠C = 1/2 arc AB = 1/2(120°) = 60°   because it is an inscribed angle

∠B = 180° - 42° - 60° = 78°

Answer 2

The measure of  ∠ B is  78°.

What is inscribed angle?

An inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended at a point on the circle by two given points on the circle.

What is inscribed angle theorem?

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.

According to the question

m ∠ A= 42º.

mAB = 120°

By  inscribed angle theorem :

mAB = 2 m∠C

120° = 2 m∠C

m∠C = 60°

now,

according to the sum of angle of triangle

m ∠ B + m∠C + m ∠ A = 180°    

m ∠ B +60° + 42º= 180°  

m ∠ B = 78°

Hence, the measure of  ∠ B is  78°.

To know more about inscribed angle theorem here:

https://brainly.com/question/5436956

#SPJ2

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Step 1:

2x + 3 = x - 4          Equation

Step 2:

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Answer:

x = - 7        Subtract 3 on both sides

Hope This Helps :)

Answer:

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Step-by-step explanation:

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Solution :-

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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i hope this helps! :D

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Answers

Answer:

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Step-by-step explanation:

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