Question

In the figure, transversal t intersects the parallel lines a and b

Answer 1

So this answer is for angle 4 is 64.76
and for angle 6 is 180-64.76 is 115.24

Answer 2

The measure of angle m<3 and m<4 is 64.76 degrees and 115.24 degrees

The point where two lines meet is known as an angle

From the given diagram, m<1 = 64.76 degrees

Required angles

m<4 and m<6

m<1 = m<4 = 64.76 degrees (vertically opposite angles)

The sum of the adjacent angles is supplementary, hence;

m<4 + m<6 = 180

64.76 + m<6 = 180

m<6 = 180 - 64.76

m<6 = 115.24 degrees

Hence the measure of angle m<3 and m<4 is 64.76 degrees and 115.24 degrees

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