m∠c
m∠b + m∠d
Step-by-step explanation:
m∠a = 2m∠b
m∠a + m∠b = 90 degrees
2m∠b + m∠b = 90°
3m∠b = 90
m∠b = 90/3
m∠b= 30°
m∠a = 2m∠b
m∠a = 2(30°)
m∠a = 60°
m∠c + m∠b = 90°
m∠c + 30 = 90
m∠c = 90 - 30
m∠c = 60°
m∠c + m∠d = 90°
60 + m∠d = 90
m∠d = 90 - 60
m∠d = 30°
Acute angles are angles less than 90°.
m∠c is less than 90. Hence, it is an acute angle.
m∠a + m∠c = 60 + 60 = 120 > 90
m∠b + m∠d = 30 + 30 = 60 < 90. Hence, it is an acute angle
m∠a + m∠d = 60 + 30 = 90
m∠c + m∠d = 60 + 30 = 90