Question

please answer the question ​

Answer 1

Answer:

z=60,x=30,y=30 degrees...u sinply have to apply concepts of quadrilateral and triangle...regarding the angles

Answer 2

x = 40°, y = 40° and z = 50°

Step-by-step explanation:

In ΔAFD, ∠FAD = 90°

∠AFE = ∠FAD + ∠ADF   (Exterior angle property of triangle)

130° = 90° + x

    x = 130 - 90

    x = 40°

In quadrilateral ABEF

Angle sum property of quadrilateral: Sum of all angles of quadrilateral is 360°

∠AFE + ∠ABE + ∠FEB + ∠FAB = 360°

                 130° + z + 90° + 90° = 360°

                                                z = 360-310

                                                z = 50°

In ΔABC

∠ABC + ∠ACB + ∠BAC = 180°   (Angle sum property of triangle)

                 50° + y + 90° = 180°

                                     y = 180°-140°

                                    y = 40°

Hence, the value of x = 40°, y = 40° and z = 50°

Learn More:

Angle sum property of triangle, Exterior angle theorem

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