Question

What is the value of x?

Answer 1

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Let the given triangle be ∆ABC and let B and C be the base of triangle. As per the property we know that the bases of isosceles triangle are congruent or equal.

Also, sum of all angles in triangle is 180°.

By further simplification we get,

`:\implies\tt{x + x + 38 = 180}`

`:\implies\tt{2x + 38 = 180}`

`:\implies\tt{2x = 180 - 38}`

`:\implies\tt{2x = 142}`

`:\implies\tt{x = (142)/(2) }`

`:\implies\tt{x = 71}`

• The value of x is 71°.

Answer 2

x = 71

Explanation:

The base angles of an isosceles triangle are congruent. The sum of angles in a triangle is 180°.

x° +x° +38° = 180°

2x = 142 . . . . . . . . divide by °, subtract 38

x = 71 . . . . . . . . . divide by 2