Question

This shape has been made from two identical isosceles triangles work out the size of angle x

Answer 1

Answer:

x is 100

Step-by-step explanation:

angles of triangle will be : 25,25,130

130 + 130 + x = 360

x = 100

Answer 2

Answer:

The angle x is 100°.

Step-by-step explanation:

Form the figure, ΔABD and ΔACD are two identical isosceles triangles in which ∠DAB = 25° and AD = BD = CD

Step 1 of 3

In ΔABD,

AD = BD (Given)

⇒ ∠DBA = ∠DAB (Angle opposite to equal sides are equal)

⇒ ∠DBA = 25°

Now,

∠DBA + ∠DAB + ∠ADB = 180° (Angle sum property)

        25° + 25° + ∠ADB = 180°

                           ∠ADB = 180° - 50°

                           ∠ADB = 130°

Step 2 of 3

Since ΔABD and ΔACD are two identical isosceles triangles.

⇒ ∠DCA = ∠DBA

⇒ ∠DCA = 25°

Also,

⇒ ∠DAC = ∠DAB

⇒ ∠DAC = 25°

And,

∠ADC = ∠ADB

∠ADC = 130°

Step 3 of 3

Since one complete revolution is of 360°.

∠ADC + ∠ADB + ∠CDB = 360°

              130° + 130° + x = 360°

                                    x = 360° - 260°

                                    x = 100°

Therefore, the angle x is 100°.

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