Answer:
Step-by-step explanation:
1). ∠1 and ∠2 are supplementary.
m∠1 + m∠2 = 180°
2). ∠1 and ∠2 are complementary angles.
m∠1 + m∠2 = 90°
3). If ∠1 and ∠2 are vertical angles,
m∠1 = m∠2 = 64°
4). ∠Q and ∠R are complementary angles.
m∠Q + m∠R = 90°
If m∠R = 73°,
m∠Q + 73° = 90°
m∠Q = 90° - 73°= 17°
5). m∠AED = 135°
a). Since, ∠AED and ∠AEC are supplementary angles,
m∠AED + m∠AEC = 180°
m∠AED = 152°
152° + m∠AEC = 180°
m∠AEC = 180° - 152° = 28°
b). m∠CEB + m∠AEC = 180°
28° + m∠CEB = 180°
m∠CEB = 180° - 28° = 152°
c). m∠FEC = m∠FEA + m∠AEC
= 90° + 28°
= 118°
