Question

in triangle abc measure of angle A is equal to X degree measure of angle b is equal to 3 X degree and measure of angle C is equal to Y degree if 3 Y - 5 x is equal to 30 then find the measyure of all the three angles of a triangle ​

Answer 1

Hello Friend....☺

As we know that sum of all angles of triangle is equal to 180 degree..

Then:

X+3X+Y = 180

4X + Y =180

12X + 3Y = 540

and we r given:

3Y - 5X = 30

Subtracting Equation 2 from 1 we get:

17X = 510

X = 30

3X = 90

Y = 60

Hence three angles are 30, 60, 90 degree....☺

Hope this helped you...✌

Answer 2

sum of angle of triangle = 180

x + 3x + y = 180

4x + y = 180 .....eq (1)

3y - 5x =30

-5x + 3y =30 ...... eq (2)

Multiply eq (1) by 3

12x + 3y = 540 ..... eq (3)

subtract eq (2) from eq (3)

17x = 510

x = 30

put value of x in eq (1)

y =60

Measure of angles

a = 30

b = 90

c = 60