Measures of the two angles between the hour and minute hands of a clock at 5 O'clock are
1) 60°, 300°
2) 270°, 90°
3) 150°, 210°
4) 30°, 330°
Who will tell correct will get marked as brainliest and need explanation too
Answers
Explanation
One round =360 degree
No of hours 12
Than 360\12=30
Than 5 to 12 ,
7 parts
Than 7*30=210
1to 5
5 parts
Than 5*30=150
Answer 150 degree and 210 degree
Hey there! Here is your answer with a complete step-by-step solution
Answer:
c.) 150˚, 210˚ is the answer you're seeking!
Step-by-step explanation:
So, the questions ask us to tell the two angles formed between the hour and minute hands of a clock at 5 O'clock
The whole clock is 360˚, which is divided into 12 parts,
= = 30
This means that each part is 30˚.
Now, let's make a clock whose time is at 5 O'clock (refer to the attachment)
The first angle formed is from 12 to 5, which means that it has the numbers 1, 2, 3, and 4 in between them. This means that we will multiply 30 5 times as, from the above equation, we got to know that each part of a clock is 30˚.
= 30 x 5
= 150
Now, we have got the 1st angle's measure which is 150˚.
So, now we will find out the 2nd angle and its measure.
The 2nd angle formed is from 5 to 12, which means that it has the numbers 6, 7, 8, 9, 10, and 12 in between them. This means that we will multiply 30 7 times.
= 30 x 7
= 210
Now, we have got the 2nd angle's measure which is 210˚.
And hence, we get the measure of the angles between the hour and minute hands of a clock at 5 O'clock.