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20 votes
20 votes
B.__ angles form a straight line.

User Deepak Tagadiya
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2 Answers

15 votes
15 votes

Answer: 180 degree's make up a straight line.

Explanation:

User Redmond
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17 votes
17 votes

Complete the sentences

A. All right angles are 90 degrees (by definition)

B. supplemenatry angles form straight line (by definition)

C. If two angles form a linear pair, then the are supplementary (by definition)

D. When two lines intersect, the inverse angles are congruent.

In the given image of two intersecting lines, you have m∠1 = 67°

E. angle 2 and angle 1 are supplementary, then;

m∠2 + m∠1 = 180°

m∠2 = 180° - m∠1

m∠2 = 180° - 67°

m∠2 = 113°

F. angle 3 and angle 1 are congruent, then:

m∠3 = m∠1 = 67°

Due to the given image, you have the following expressions:

2x + x + 60° = 180° supplementary angles

3x + 60° = 180° subtract 60 both sides

3x = 180° - 60°

3x = 120° divide both sides by 3

x = 120/3

x = 40°

Furthermore, for y, you have:

x + y + y + 20° = 180° supplementary angles

x + 2y + 20° = 180° replace x = 40

40 + 2y + 20° = 180°

2y + 60° = 180° subtract 60 both sides

2y = 180° - 60°

2y = 120°

y = 120/2 divide by 2 both sides

y = 60°

User Gisel
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