Question

In figure the value of x is​

Answer 1

Answer :-

• The value of x = 130°.

To find :-

• The value of x.  

Step-by-step explanation :-

• Here, it is given that the two exterior angles of the triangle are 110° and 120°. We have to find the value of x or the other exterior angle!

We know that :-

$\bigstar \: \underline{\boxed{\sf Sum_{(exterior\:angles\:of\:a\:triangle)} = 360^{\circ}}}$

Therefore :-

$\longrightarrow$ 110° + 120° + x = 360°

$\longrightarrow$ 230° + x = 360°

$\longrightarrow$ x = 360° - 230°

$\longrightarrow$ x = 130°

Hence -

• The value of x is 130°.

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Answer 2

Given:

From the figure below: ∠PAB = 110°, ∠RCA = 120°

To find: ∠QBC = x

Calculation:

From straight line theorem:

∠PAB + ∠CAB = 180° and ∠ACB + ∠ACR = 180°

So, ∠CAB = 70° and ∠ACB = 60°

Now from the ΔABC:

∠A + ∠B + ∠C = 180°

70° + ∠B + 60° = 180°

∠B = 50°

Answer:

Value of x is 50°.