Question

HELPPP!!! 10 PTS! M angle (6x + 15) = _____

Answer 1

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°