Question

find x,...,.....................​

Answer 1

Hey mate!

Here's your answer!

In the line segment AD,

∠ACB+∠BCD = 180°

=> ∠ACB = 180°-130°

=> ∠ACB = 50°

Also,

∠ACB = ∠ABC [Since angles opposite to equal sides are equal]

So,

∠ABC = 50°

Now,

In △ABC,

∠ABC+∠BCA+∠CAB = 180°

50°+50°+x = 180°

=> x = 180°-100°

=> x = 80°

That's the answer!

Hope it helps :)

Answer 2

Heya!!

Angle B = 180 - ( x + 50 )

By using Sin rule of Trangle.

( Sin x / BC ) = Sin ( 130 - x ) / AC

=>

Sin x = Sin ( 130 - x )

x = 130 - x

2x = 130

x = 65°