ashleymartjn
ashleymartjn ashleymartjn
  • 01-11-2019
  • Mathematics
contestada

What would BOTH X AND Y BE?

What would BOTH X AND Y BE class=

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SouthernRider
SouthernRider SouthernRider
  • 05-11-2019

Answer:

x=110°

y=49°

Step-by-step explanation:

Here consider ΔABD and ΔBCD as seperate.

In ΔABD

Given AB=AD which means that it is an isosceles triangle.

∠ABD=∠ADB

∠ADB=35°

In ΔABD sum of the angles =180°

∠BAD + 35° + 35° =180°

x=180°-70°=110°

In ΔBCD

Given BC=DC which means ΔBCD is an isosceles triangle.

∠CBD=∠CDB

∠CDB=y

∠CBD=y

In ΔBCD the sum of the angle =180°

y° + y° + 82°=180°

2y°=98°

y=49°

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