Question

please solve it. with steps

Answer 1

There are many ways for solving these types of problems.However I think ,this is the easiest one-

1) 2x+5+3x+10=180
or, 5x+15=180
or, 5x=180-15
or, 5x=165
or, x=165/5
or, x=33

2) 5y+2y+10+y+20=180
or, 8y+30=180
or, 8y=180-30
or, 8y=150
or, y=150/8
or, y=18.75

1st angle=2x+5=2×33+5=71
2nd angle=3x+10=3×33+10=109
3rd angle=y+20=18.75+20=38.75
4th angle=2y+10=2×18.75+10=47.5
5th angle=5y=5×18.75=93.75

Ans)Value of x and y is 33 and 18.75 and the angles are 71°,109°,38.75°,47.5° and 93.75°