Angles on a straight line Vertically opposite angles

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Presentation transcript:

Angles on a straight line Vertically opposite angles

Angles on a straight line Add up to 180° We say they are supplementary 30° + 150° = 180° y + 77° = 180° y = 180° - 77° y = 103°

Finding angles on a straight line 45° + 39° + b° + 24° = 180° 108° + b° = 180° b = 180° - 108° b = 72°

Vertically opposite angles Come in pairs And are equal The two blue 75° angles are vertically opposite to each other The two orange 105° angles are vertically opposite to each other Notice too how 75° + 105° = 180° because these are angles on a straight line

Finding vertically opposite angles x is vertically opposite to the 55° angle x = 55° r = 68°

Finding vertically opposite angles Find x and y: y and 25° are vertically opposite y = 25° (because vertically opposite angles are equal) x + y = 180° (because angles on a straight line are supplementary) We’ve already found y= 25°, so: x + 25° = 180° x = 155°

Question 1: Click the true statement a = b B a + b = 90° C a + b = 180° D a and b are complementary

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Question 2: find the value of x B x = 100° C x = 180° D It is not possible to say what x is

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Question 3: Find the value of x B x = 95° C x = 90° D x = 85°

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Question 4: Find x A 10O A B 80O C 100O D 180O

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Question 5: which of the statements below is FALSE Angles x and 5x are complementary B Angles x and 5x are supplementary C x + 5x = 180° D x = 30°

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Question 6: Which statement is FALSE? B x° and 110° are vertically opposite angles A x° =110° C x° and 110° are equal D x° and 110° are supplementary

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Question 7 The angle vertically opposite to is … A B C D

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Question 8: which statement is true? angle 1 = angle 2 B angle 1 = angle 4 C angle 1 = angle 3 D angle 2 = angle 3

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Question 9 A B C D Select the true statement X = Y X and Y are vertically opposite C X = 30° D Y = 30°

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