The measure of m<1, m<2 and m<3 are 54, 63 and 63 degrees respectively
The sum of angle in a straight line is 180 degrees, hence:
m<2 + 117 = 180
m<2 = 180 - 117
m<2 = 63 degrees
For the diagram, m<2 - m<3 = 63 degrees (alternate angle.)
Also, the sum of interior angle of the triangle is 180 degrees, hence:
m<2 + m<2 + m<1 = 180
63 + 63 + m<1 = 180
126 + m<1 = 180
m<1 = 180 -126
m<1 = 54degrees
Hence the measure of m<1, m<2 and m<3 are 54, 63 and 63 degrees respectively
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