in a triangle 4∠A = 3∠B =12∠C . find all angles
Answers
Answered by
1
Step-by-step explanation:
answer is in above
mentioned above
Attachments:
Answered by
0
Answer:
hi so i struggled w this a lot but i finally got it so i hope this helps <3
Step-by-step explanation:
alright so a triangle has angles named ∠A, ∠B, and ∠C.
the question states that 4∠A=3∠B=12∠C
now ∠A+∠B+∠C = 180, as the sum of all the three angles in a triangle is 180.
let's get all the angles to be equal if that makes sense. If it doesn't then you'll understand as you further read (i hope)
4∠A=12∠C (stated in the question)
so ∠A= 12/4 ∠C = 3∠C
3∠B=12∠C (stated in the question)
so ∠B= 12/3∠C= 4∠C
let's replace ∠A and ∠B with the values we got
∠A+∠B+∠C=180
so 3∠C+4∠C+∠C=180
8∠C=180
∠C=180/8=22.5
∠A=22.5*3=67.5
∠B=22.5*4=90
<3
Similar questions