Question

Find angle x in the adjoining figure:​

Answer 1

[ REFER TO THE ATTACHMENT ]

Here, given that there are two angles given ; an exterior angle and an interior angle.

• ∠BAC = 55°
• ∠ABD = 110°

We've to find the value of x.

As we know that Sum of two opposite interior angles is equal to exterior angle.

• Exterior angle = ∠ABD = 110°
• Interior angle = ∠BAC = 55°
• Interior angle = ∠ACB = x

Now, according to question :

➥ ∠ABD = ∠BAC + ∠ACB

➥ 110° = 55° + x

➥ 110° - 55° = x

➥ x = 55°

Hence, the value of x is 55°.