184k views
3 votes
Please help

AB=AD and BC=DC

Please help AB=AD and BC=DC-example-1

2 Answers

5 votes

Answer:

110

Explanation:

Since AB=AD, AB = 35 so that means AD = 35. 35+35=70. A triangle is 180, so 180-70=110

User Pawan Lakhara
by
6.4k points
4 votes

Answer:

The value of x in the given figure is 110°

Explanation:

Here, In ΔABD,

AB=AD and ∠ ABD = 35°

Now, ANGLES OPPOSITE TO EQUAL SIDES ARE EQUAL.

As, AB=AD

⇒ ∠ ABD = ∠ ADB = 35°

Now, In ΔABD, by ANGLE SUM PROPERTY:

∠ ABD + ∠ ADB + ∠ DAB = 180°

⇒ 35° + 35° + x = 180°

or, x = 180° - 70° = 110°

⇒ x = 110°

Hence, the value of x = 110°