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Parallel lines Q and M are cut by transversal lines j and k.

1) What is the measure in degrees of ∠ 1?

2) What is the measure in degrees of ∠ 2?

3) What is the measure in degrees of ∠ 3?

4) What is the measure in degrees of ∠ 4?

5) What is the measure in degrees of ∠ 6?

Explain how you found∠" 6?".

Parallel lines Q and M are cut by transversal lines j and k 1 What is the measure in degrees of 1 2 What is the measure in degrees of 2 3 What is the measure in class=

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calculista
we have that

1) What is the measure in degrees of ∠ 1? 
∠ 1+110=180----> ∠ 1=180-110---> ∠ 1=70°---> angles 1 and 110  are supplementary angles

2) What is the measure in degrees of ∠ 2? 
∠ 2+115=180----> ∠ 2=180-115----> ∠ 2=65°---> angles 2 and 115  are supplementary angles

3) What is the measure in degrees of ∠ 3? 
∠ 3=∠ 2----> ∠ 3=65°------> angles 3 and 2  are congruent by corresponding angles

4) What is the measure in degrees of ∠ 4?
∠ 4=115---> ∠ 4=115°----> angles 4 and 115  are congruent by corresponding angles

5) What is the measure in degrees of ∠ 6?
step 1
find the value of angle ∠7
we know that
∠1 +∠2 +∠7=180---------> (sum of the internal angles of a triangle
∠7=180-(∠1 +∠2)------> ∠7=180-(70+65)----------> ∠7=45°

∠6=∠7----------> ∠6=45°-------------->  angles 6 and 7 are opposed by the vertex, so they are congruent.

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