Question

ompute the value of x in each of the following figures .

Explaination please ​

Answer 1

Answer:

Let the given triangle be ABC.

Angle B = x°

Angle A = 160°

Angle C = 130°

∠BAC + ∠A = 180° (Linear Pair)

∠BAC + 160° = 180°

∠BAC = 20°

Similarly,

∠ACB + ∠C = 180° (Linear Pair)

∠ACB + 130° = 180°

∠ACB = 50°

In triangle ABC:

By angle sum property:

∠ABC + ∠BAC + ∠ACB = 180°

x° + 20° + 50° = 180°

x° = 180° - 70°

x° = 110°

${\huge{\boxed{\boxed{\red{Answer:}}}}}$

$\huge\green{x\:=\:110°}$

Hope this helps you.

Answer 2

Hope you understand... You should know angle sum property