The other angles that are equal 23° are angle 2, 4, 6.
Step-by-step explanation
Given:
m<8 = 23°
m<1
m<1 + m<8 = 180° ( Consecutive angles are supplementary).
m<1 + 23° = 180°
Subtract 23° from both-side of the equation.
m<1 = 180° - 23° =157°
Hence, m<1 = 157°
m<2
m<1 + m<2 = 180° ( angles on a straight line)
157° + m<2 = 180°
Subtract 157° from both-side of the equation.
m<2 = 180° - 157°
m<2 =23°
m<3
m<3 + m<2 = 180° (angle on a straight line)
m<3 = 180° - 23° = 157°
Hence, m<3 = 157°
m<4
m<4 = m<2 = 23° ( Vertical angles are congruent).
Hence, m<4 = 23°
m<5
m<5 = m<3 = 157° (Alternate interior angle)
Hence, m<5 = 157°
m<6
m<6 = m<4 = 23° (Alternate interior angle).
Hence, m<6 = 23°
m<7
m<7 = m<5 = 157° ( vertical angles).
Hence, m<7 = 157°
Therefore, the other angles that are equal 23° are angle 2, 4, 6.