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SIZIF [17.4K]
3 years ago
15

choose all of the terms that describe the set of lines. transversal parallel lines perpendicular lines intersecting lines

Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Answer:

C. Perpendicular Lines

D. Intersecting Lines

Step-by-step explanation:

Intersecting lines are a pair of lines, line segments or rays are intersecting if they have a common point.

Perpendicular lines are a point where two city roads intersect.

Hope this helps. I am sorry if you get it wrong.

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What are the measures of Angles a, b, and c? Show your work and explain your answers.
andreev551 [17]
Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105<span>°.
</span>_____________________________________________
1) The measure of Angle a is 30°. (m∠a = 30°).
Proof:  All vertical angles are congruent, and we are shown in the diagram that angle A — AND the angle labeled with the measurement of 30°— are vertical angles. 

2) The measure of Angle b is 60°. (m∠b = 60<span>°).
Proof:  All three angles of a triangle add up to 90 degrees. In the diagram, we can examine the triangle formed by Angle A, Angle B, and a 90</span>° angle. This is a right triangle, and the angle with 90∠ degrees is indicated as such (with the "square" symbol).  So we know that one angle is 90°.  We also know that m∠a = 30°.  If there are three angles in a triangle, and all three angles must add up to 180°, and we know the measurements of two of the three angles, we can solve for the unknown measurement of the remaining angle, which in this case is: m∠b.  
 90° + 30° + m∠b = 180<span>° ;
</span>180° - (<span>90° + 30°) = m∠b ; 
</span>180° - (120°) = m∠b = 60<span>°
</span>___________________________
Now we need to solve for the measure of Angle c (<span>m∠c).
___________________________________________
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