Answer:
a.) 98°
Step-by-step explanation:
Angle 5 and angle 8 (82°) are supplementary angles. This means that their sum will make a straight angle of 180°. Make an equation:
[tex]82+x=180[/tex]
Solve for x, the value of angle 5:
[tex]x=180-82\\\\x=98[/tex]
Angle 5 has a measure of 98°.
Now we know the measure of angle 5. Angle 4 and angle 5 are alternate interior angles, so they are congruent. Therefore, angle 4 has a measure of 98°.
:Done
