The measure of the unknown angles are as shown below;
m<2 = 128 degrees = m<4
m<5 = 128 degrees
m<6 = 52 degrees
m<3 = 52 degrees = m<8
m<7 = 128 degrees
Lines and angles
An angle is the point where the two lines meet. From the given diagram, the lines B and D are parallel to each other with a transversal.
Given the following parameters
m<1 = 52 degrees
From the given diagram, the following are true
m<1 = m<3 (corresponding angle)
m<3 = m<8 (vertical angles)
m<1 = m<6 (vertical angles)
m<2 = m<5 (vertical angles)
m<4 = m<7 (vertical angles)
Also;
m<1 + m<2 = 180
m<2 = 180 - m<1
m<2 = 180 - 52
m<2 = 128 degrees = m<4
m<5 = 128 degrees
m<6 = 52 degrees
m<3 = 52 degrees = m<8
m<7 = 128 degrees
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