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VikaD [51]
3 years ago
15

What is m∠A ? Enter your answer in the box. °

Mathematics
2 answers:
slava [35]3 years ago
5 0
The definition of the interior angles of a triangle states that interior angles of a triangle add up to 180º.

This means we can find the measure of <CED: 

<CED + <ECD + <CDE = 180º
<CED = 180º - <ECD - <CDE
<CED = 180º - 43º - 35º
<CED = 102º

By the definition of vertical angles states that a pair of vertical angles are congruent.

This means <CED = <AEB
If <CED = 102º 
Then <AEB = 102º

By definition of the interior angles of triangles:
<AEB + <EBA + <BAE = 180º

<AEB = 102º
<EBA = 18º

102º + 18º + <BAE(<A) = 180º

<BAE = 180º - 102º - 18º
<BAE = 60º

<BAE is another way to say <A

<span>m∠A  = 60º</span>




saveliy_v [14]3 years ago
4 0
The answer is 42 degrees
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Answer:

132 degrees

Step-by-step explanation:

To solve this problem, you need to know a couple of rules

1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.

2)Angles of a quadrilateral shape add up to 360 degrees.

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So first, solve angle S with inscribed angle theorem. 126/2 = 63

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Let me know if this doesn't work, I'll look at it again.

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