Question

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M angle (6x + 15) = _____

Answer 1

The value of ∠(6x + 15) = 57°

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°