Find the value of 𝑥 in the diagram, stating any angle rules you use. Pick ALL correct options.

$$144\degree$$ 1) Angles on a straight line add up to 180. 2) corresponding angles and therefore equal.

$$144\degree$$ 1) interior angles and therefore add up to 180. 2) Vertically opposite angles and therefore equal.

$$144\degree$$ 1) corresponding angles and therefore equal. 2) Angles on a straight line add up to 180.

$$144\degree$$ 1) alternate angles and therefore equal. 2) Angles on a straight line add up to 180.

Find the value of 𝑥 in the diagram, stating any angle rules you use. Pick ALL correct options.

$$45\degree$$ 1) Angles on a straight line add up to 180. 2) corresponding angles and therefore equal.

$$45\degree$$ 1) interior angles and therefore add up to 180. 2) Vertically opposite angles and therefore equal.

$$45\degree$$ 1) corresponding angles and therefore equal. 2) Angles on a straight line add up to 180.

$$45\degree$$ 1) alternate angles and therefore equal. 2) Angles on a straight line add up to 180.

Reasoning with Angles

Authored by Katrijn Ganne

Mathematics

6th - 8th Grade

Used 3+ times

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15 questions

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DROPDOWN QUESTION

1 min • 1 pt

angle a is $48\degree$ because it is (a)

a vertically opposite angle and therefore equal

an alternate angle and therefore equal

a vertically opposite angle and therefore equal

DROPDOWN QUESTION

1 min • 1 pt

angle b is $52\degree$ because it is (a)

a vertically opposite angle and therefore equal

a corresponding angle and therefore equal

an alternate angle and therefore equal

DROPDOWN QUESTION

1 min • 1 pt

angle c is (a) because (b)

a vertically opposite angle and therefore equal

an interior angle and therefore adds to 180º.

an alternate angle and therefore equal

$115\degree$

65\degree

75\degree

DROPDOWN QUESTION

1 min • 1 pt

angle d is (a) because (b)

a vertically opposite angle and therefore equal

a corresponding angle and therefore equal.

an alternate angle and therefore equal

$71\degree$

109\degree

119\degree

DROPDOWN QUESTION

1 min • 1 pt

angle a is (a) because (b)

a vertically opposite angle and therefore equal

an alternate angle and therefore equal.

a corresponding angle and therefore equal

$108\degree$

72\degree

62\degree

DROPDOWN QUESTION

1 min • 1 pt

angle b is (a) because (b)

a vertically opposite angle and therefore equal

a corresponding angle and therefore equal.

an alternate angle and therefore equal

$43\degree$

137\degree

53\degree

DROPDOWN QUESTION

1 min • 1 pt

angle c is (a) because (b)

a vertically opposite angle and therefore equal

a corresponding angle and therefore equal.

an alternate angle and therefore equal

$114\degree$

66\degree

56\degree

DROPDOWN QUESTION

1 min • 1 pt

angle d is (a) because (b)

a vertically opposite angle and therefore equal

an interior angle and therefore adds to 180º

an alternate angle and therefore equal

$101\degree$

79\degree

81\degree

DROPDOWN QUESTION

1 min • 1 pt

angle d is (a) because (b)

a vertically opposite angle and therefore equal

a corresponding angle and therefore equal

an alternate angle and therefore equal

$97\degree$

103\degree

83\degree

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the value of 𝑥 in the diagram, stating any angle rules you use.

$134\degree$

It is an interior angle and therefore adds to 180º.

$46\degree$

It is an interior angle and therefore adds to 180º.

$46\degree$

It is an alternate angle and therefore adds to 180º.

$46\degree$

It is a corresponding angle and therefore adds to 180º.

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Reasoning with Angles

angle a is 48°48\degree48° because it is ​ ​ ​​ (a)

angle b is 52°52\degree52° because it is ​ ​ ​​ (a)

angle c is ​ (a) because ​ ​ (b)

angle d is ​ (a) because ​ ​ (b)

angle a is ​ (a) because ​ ​ (b)

angle b is ​ (a) because ​ ​ (b)

angle c is ​ (a) because ​ ​ (b)

angle d is ​ (a) because ​ ​ (b)

angle d is ​ (a) because ​ ​ (b)

Find the value of 𝑥 in the diagram, stating any angle rules you use.

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angle a is $48\degree$ because it is (a)

angle b is $52\degree$ because it is (a)

angle c is (a) because (b)

angle d is (a) because (b)

angle a is (a) because (b)

angle b is (a) because (b)

angle c is (a) because (b)

angle d is (a) because (b)

angle d is (a) because (b)