Answer:
m∠A = 15°; m∠B = 89°; m∠C = 76°
Step-by-step explanation:
The sum of the three interior angles of a triangle is 180°.
Let x = m∠A
Then 3x + 44 = m∠B
and x + 61 = m∠C
x + 3x + 44 + x + 61 = 180
5x + 105 = 180
5x = 75
x = 15
m∠A = 15°
m∠B = 3(15) + 44 = 45 + 44 = 89°
m∠C = 15 + 61 = <u> 76°</u>
Sum = 180°
Answer:
45°
Step-by-step explanation:
The hour hand makes a trip of 360° around the face of the clock in 12 hours, so in 4.5 hours will make an angle of ...
... (4.5/12)·360° = 135°
clockwise from straight up.
The minute hand makes that 360° turn in 1 hour, so in 30 minutes, it will be 180° clockwise from straight up.
The difference between the angles of the hands is ...
... 180° -135° = 45°
