Math, asked by vrindasharma200656, 3 months ago

in a triangle 4∠A = 3∠B =12∠C . find all angles

Answers

Answered by parthbhatthero99
1

Step-by-step explanation:

answer is in above

mentioned above

Attachments:
Answered by nuhafaizal07
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

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