The following answers are,
11. 60°
12. ∠ABC
13. 60°
14. Supplementary
Step-by-step explanation:
11. In ABC triangle,
∠BAC = m∠1 = 30° and ∠ACB = 90°
∠BAC + ∠ABC + ∠ACB = 180°
or, ∠ABC = 180°- (30°+90°)
=60°
12. ∠1 and ∠ABC are complementary angles.
If the sum of two angles are 90°, then the angles are called complementary angle to each other.
13. In ACD triangle,
∠CAD = m∠2 = 30° and ∠ACD = 90°
∠CAD + ∠ACD + ∠ADC = 180°
or, ∠ADC = 180°- (30°+90°)
=60°
Again, ∠ADC + ∠ADE = 180°
or, ∠ADE = 180° - 60° = 120°
14. ∠ADC and ∠ADE are adjacent and supplementary.
