Question

find the numerical value of x° in the following figure
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Answer 1

There are two isosceles triangles depicted in the figure

∠1 and ∠2 are the angles of the largest triangle apart from x

∠3 is the angle near to 75° of triangle on the left and ∠4 is its other angle apart from ∠1

∠4 = 180-x

180 - 2∠1 = 180-x

x = 2∠1

x+∠1 = 75

3∠1 = 75

∠1 = 25

Hence x = 2×25 = 50°

HOPE IT HELPS!!