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In parallel lines cut by a transversal if m angle RNP =(8x+63) degree and m angle NRS = 5x degree
1. find angle measure of m angle RNP
2. Find angle measure of m angle NRS

Respuesta :

calculista

Answer:

Part 1) [tex]m\angle RNP=135^o[/tex]

Part 2) [tex]m\angle NRS=45^o[/tex]

Step-by-step explanation:

The complete question in the attached figure

step 1

Find the value of x

we know that

[tex]m\angle RNP+m\angle NRS=180^o[/tex] ----> by supplementary angles (consecutive interior angles)

substitute the given values

[tex](8x+63)^o+5x^o=180^o[/tex]

Solve for x

[tex]8x+5x=180-63\\13x=117\\x=9[/tex]

step 2

Find the measure of angle RNP

substitute the value of x

[tex]m\angle RNP=(8(9)+63)=135^o[/tex]

step 5

Find the measure of angle NRS

substitute the value of x

[tex]m\angle NRS=5(9)=45^o[/tex]

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