Question

please find the value of x with explanation​

Answer 1

Answer:

it is sin cos formula or not

Answer 2

$\bf\bigstar\blue{ANSWER:-}$

According to the angle sum property of a triangle,

• Sum of the angles = 180

• We can name the angles of this triangle as A, B and C

• Then,

$\longrightarrow\bf{\angle{A+\angle{B+\angle{C=180\°}$

• We know that, ∠A = 56°

• Next we can find ∠B.

Here, the external angle of this triangle is 101°

We can name that angle as ∠D.

$\longrightarrow\bf{\angle{B+\angle{D=180\°}$ [Linear pair]

$\longrightarrow\bf{\angle{B=180\°-\angle{D}$

∠D = 101°

Then,

$\longrightarrow\bf{\angle{B=180-101}$

$\longrightarrow\bf{\angle{B=79}$

Now we got,

Values of ∠A and ∠B and also ∠C = x°

$\longrightarrow\bf{\angle{A+\angle{B+\angle{C=180\°}$

We can substitute the values istead of ∠A and ∠B

$\longrightarrow\bf{56+79+x=180\°}$

$\longrightarrow\bf{135+x=180\°}$

$\longrightarrow\bf{x=180-135}$

$\longrightarrow\bf{x=45}$

Then, the value of x = 45°

Happy Learning!