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Classification of Angles Based on Degree

Measure and c...

Question

Measure and classify each angle:

Angle

Measure

Type

∠AOB

-

-

∠AOC

-

-

∠BOC

-

-

∠DOC

-

-

∠DOA

-

-

∠DOB

-

-

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Solution

Angle

Measure

Type

∠AOB

40º

Acute

∠AOC

125º

Obtuse

∠BOC

85º

Acute

∠DOC

95º

Obtuse

∠DOA

140º

Obtuse

∠DOB

180º

Straight

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O C

O D

O

A O B

∠ A O C = 2 x, ∠ C O D = 3 x, ∠ B O C = 5 x

∠ A O C, ∠ C O D, ∠ D O B

∠ B O C = ∠ D O C = 34^{o}

∠ A O D = 120^{o}

A O B

A O C

Two lines AB and CD intersect at O. If $∠ A O C + ∠ C O B + ∠ B O D = 270^{0}$ , find the measure of $∠ A O C, ∠ C O B, ∠ B O D a n d ∠ D O A$ .

∠ A O B = 50^{\circ}, ∠ A O E = 90^{\circ} a n d ∠ C O D = 25^{\circ}

∠

∠

∠ C O D

°

∠

°

∠

∠

∠

∠

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