The correct measure of m<ABD = 79degrees
The measure of m<DBC and m<ABC are 45 and 34degrees respectively.
Find the diagram to the question attached.
From the diagram, we are given the following measures;
m<DBC = 5x + 4
m<ABC = 8x - 3
m<ABD = 79degrees
From the diagram, we can see that;
m<DBC + m<CBA = m<ABD
5x + 4 + 8x - 3 = 79
13x + 1 = 79
13x = 79 - 1
13x = 78
x = 78/13
x = 6
Get the measure of m<ABC
m<ABC = 8x - 3
m<ABC = 8(6) - 3
m<ABC = 45 degrees
Get the measure of m<DBC
m<DBC = 5x + 4
m<DBC = 5(6) + 4
m<DBC = 34degrees
Hence the measure of m<DBC and m<ABC are 45 and 34degrees respectively.
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