MATH SOLVE

2 months ago

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

Accepted Solution

A:

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;m<1 = 76 degreesSince;m<1 = m<3 (vertical angles)Hence m<3 = 76degreesAlso m<1 and m<2 are supplementary, that is:m<1 + m<2 = 18076 + m<2 = 180m<2 = 180 - 76m<2 = 104degreesSince m<2 = m< 4(vertically opposite angles), hence;m<4 = 104 degreesThe measure of the angles 2, 3, and 4 are 76, 104, and 104 respectively.Learn more here: