Use the diagram to find the measures of all angles, given that m<1= 76 degrees.
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The measure of the angles 2, 3, and 4 are 76, 104, and 104 respectively.
The point where two lines meet or intersect is known as an angle.
From the given diagram;
Since;
m<1 = m<3 (vertical angles)
Hence m<3 = 76degrees
Also m<1 and m<2 are supplementary, that is:
m<1 + m<2 = 180
76 + m<2 = 180
m<2 = 180 - 76
m<2 = 104degrees
Since m<2 = m< 4(vertically opposite angles), hence;
m<4 = 104 degrees
The measure of the angles 2, 3, and 4 are 76, 104, and 104 respectively.
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