Answer:
m < 1 = 23°
m < 2 = 90°
m < 3 = 67°
m < 4 = 113°
Step-by-step explanation:
m < 2 is a right angle. Therefore, m < 2 = 90°.
Since m < 2 is 90°, then m < 1 + m < 67° = 90°
To solve for m < 1: subtract m < 67° from m < 2:
90° - m < 67° = 23°. Thereforem m < 1 = 23° (acute angle).
m < 67° + m < 4 = 180° (supplementary angles).
To solve for m < 4: subtract m < 67° from 180°
180° - m < 67° = 113° .
Therefore, m < 4 = 113° (obtuse angle).
The sum of m < 4 and m < 3 = 180° (supplementary angles).
180° - m < 4 = m < 3
180° - 113° = 67°
Therefore, m < 3 = 67° (acute angle).
