Use the diagram to find the measures of all angles, given that m< 1= 76 degrees.

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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