Question

Given e || m and 1 = 71°, find the measures of all the other angles in the figure.​

Answer 1

Step-by-step explanation:

GIVEN

<1 = 71°

<1 = <3= 71° (Vertically opposite angles)

<1 = <5 = 71° (corresponding angles)

<1 = <7 = 71° (Alternate exterior angles)

<1+<4 = 180° (linear pair)

<4 = 180°-71° = 109°

<4 = <2 = 109° (Vertically opposite angles)

<4 = <8 = 109° (corresponding angles)

<4 = <6 = 109° (Alternate exterior angles)

Hence,

<1 = <3 = <5 = <7 = 71°

<4 = <2 = <8 = <6 = 109°