Answer:
The value of ∠(6x + 15) = 57°
Step-by-step explanation:
Here, ∠1 = (9x + 16)°
∠2 = (6x + 15)° and ∠3 = 136°
THE SUM OF EXTERIOR ANGLE IS THE SUM OF INTERIOR OPPOSITE ANGLES.
⇒ ∠1 + ∠2 = ∠3
or, (9x + 16)° + (6x + 15)° = 136°
or, (9x+ 6x) + (16 + 15) = 136°
or, 15x = 136° - 31 = 105°
⇒ x = 105° / 15 = 7
or, The value of x = 7
So, ∠2 = (6x + 15)° = 6 (7) + 15 = 57°
Hence the value of ∠(6x + 15) = 57°
