in the picture find x
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so let us take the missing angles of the ∆ as a and b
so we know that
6x + a + b = 180°
now we can conclude that a = b
because a = 180° - 9x
and b = 180° - 9x
and hence,
the ∆ is an isosceles triangle
because,
the base angles are equal
now,
6x + (180°-9x) + (180°-9x) = 180°
6x + 2(180°-9x) = 180°
6x + 360° - 18x = 180°
-12x = -180°
x = -180°/-12
= 15°
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