MATH SOLVE

2 months ago

Q:
# Two parallel lines are crossed by a transversal.What is the value of a?a = 43a = 63a = 117a = 137Two parallel lines are crossed by a transversal.bWhat is the value of h?h = 60h = 80h = 100h = 120Two parallel lines are crossed by a transversal.cWhat is the value of b?b = 32b = 52b = 118b = 128

Accepted Solution

A:

Part a) What is the value of a?we know thatm∠a=[tex]63\°[/tex] -------> by corresponding anglesthereforethe answer part a) is m∠a=[tex]63\°[/tex]Part b) What is the value of h?we know thatm∠h+[tex]120\°=180\°[/tex] ---> by consecutive interior angles (supplementary angles)m∠h=[tex]180\°-120\°[/tex]m∠h=[tex]60\°[/tex]thereforethe answer part b) ism∠h=[tex]60\°[/tex]Part c) What is the value of b?we know thatm∠b=[tex]128\°[/tex] -------> by alternate interior anglesthereforethe answer part c) is m∠b=[tex]128\°[/tex]