Find the measures of the following angles given in the diagram below.

1st Question:

m<1 = 90°

m<2= 79°

m<3= 101°

2nd Question:

m<1=97°

m<3=83°

m<6=83°

Step-by-step explanation:

1st Question :

m<1 is a right angle.

m<2 is 79° because of parallel line denote the same angle.

m<3 is 101° because 180°-79°=101°.( As we know sum of angles in a straight line = 18° degree. )

2nd question:

m<1 is 97° because sum of angles in a straight line = 180°

                    So, 180°-83°=97°

m<3 is 83° because sum of parallel sides are equal.

m<6 is 83° because sum of parallel sides are equal.

answer: 91

step-by-step explanation: