Question

Find the value of x from the given figure and hence find the measure of

each angle of the triangle.
​

Answer 1

Answer:

x=27.5

Step-by-step explanation:

a=72.5

b=85

c=22.5

Answer 2

Answer:  The angles are 65,35 and 80 .

Step-by-step explanation:

Hello gusainabhishek27,

we know the rule which states that the sum of the interior angles of a triangle is 180 degrees.

And ,the given angles here are (3x - 10),(60 - x) and (2x + 30).

This means 180 = (3x - 10) + (60 - x) + (2x + 30)

this implies that 180 = 3x + 2x - x - 10 + 60 + 30

therefore,180 = 4x + 80

solving this ,we get 4x = 180 - 80

so, x = 100/4 = 25

putting x in the given angles, we get

angle 1 = (3 * 25 ) - 10 = 75 - 10 = 65 degrees

angle 2 = (60 - 25) = 35 degrees

angle 3 = (2 * 25) + 30 = 50 + 30 = 80 degrees

so, the angles (3x - 10),(60 - x) and (2x + 30) are 65,35 and 80 respectively.

To verify, we can even add them and we get 65+35+80 = 180

Hope this helps.                                                                         : )