Question

step by step explanation pls- maths getting on my nerves​

Answer 1

Answer:

∠A=45°

∠A=45°∠B=60°

∠A=45°∠B=60°∠C=75°

Step-by-step explanation:

Given:

∠A= 3y° ---------(1)

∠B=x°

∠C=5x°. ---------(2)

We know that,

Sum of an exterior angle of a triangle is equal to the sum of the two opposite interior angles.

So,

3y°+x°=7y°

x°=7y°-3y°

x°=4y°

Therefore,

∠B=4y°--------(3)

Also,Sum of all interior angles of a triangle=180°

so,

∠A+∠B+∠C=180° ----(4)

Putting values (1),(2) and (3) in (4)

we get,

3y+4y+5y=180

12y=180

y=180/12

y=15

Putting the value of y=15 in (1),(2) and(3), we get

∠A=3y=3*15=45°

∠B=x=4y=4*15=60°

∠C=5y=5*15=75°