volume_mute

From the below figure, complete the missing values so that the equality equations will be correct

publish date: 2023/03/24 23:35:00 GMT+11

volume_mute

(1) + x = 180^o

(2) + y = 180^o

x = (3)

y = (4)

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30^o

150^o

180^o

60^o

Correct Answer

(1) 30^o

(2) 30^o

(3) 150^o

(4) 150^o

Explanation

Work it out based on the measure of the straight line which is 180^o.

You can find the measure of ∠x based on the straight line rule where x + 30^o = 180^o. Then use the vertical angles rule to find the value of ∠y where ∠y = ∠x because they are vertical angles, then ∠y = 150^o.

Reference

Mathematics for college students

Quizzes you can take where this question appears

Vertical Angles