Question

find the measure of unknown angles in the following figure​

Answer 1

Answer:

x = 35°

is the answer

Step-by-step explanation:

Because these angles form linear pair , i.e.( 3x +15 )+(2x -10) = 180°

by solving we get

5x + 5 = 180

5x = 180 - 5

5x = 175

x = 175/5

x = 35°

Answer 2

Answer:

x = 35°, (3x + 15) = 120°, (2x - 10) = 60°

Step-by-step explanation:

(3x + 15) + (2x - 10) = 180°

3x + 15 + 2x - 10 = 180°

3x + 2x + 15 - 10 = 180°

5x + 5 = 180°

5x = 180° - 5

5x = 175°

x = $\frac{175}{5}$ = 35°

So, 3x+15 = 3 x 35 + 15 = 105°+15° = 120°

and, 2x-10 = 2 x 35 - 10 = 70 - 10 = 60°