Question

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Find the values of x and y.

Answer 1

Explanation:

The figure shows an isosceles triangle. The two sides of an isosceles triangle are equal and the two base angles are equal. Since line AD is the angular bisector of the top Angle of an isosceles triangle, AD is also the base midline and base perpendicular bisector of the triangle.

So x=90 degrees.

The angles of a triangle add up to 180 degrees. So ∠DAC=(180-90-47)=43 degrees

y=43 degrees.

Answer 2

y = 43°

x = 90°

Explanation:

x = 90°(right angle)

y + 47 + x = 180(base angles of isosceles are equal)(all angles of triangle are equal)

y + 47 + 90 = 180

y + 137 = 180

y = 180 - 137

y = 43°