Question

find the value of x and find all the angles of the triangles shown below please tell Kinjal bro​

Answer 1

★ Concept:-

Here in this question, concept of exterior angle property of triangle is used. We are given 3 angles included with 2 Interior angles and 1 exterior angle. The major problem is that the interior angles are in the form of x. We are asked to find value of x. We can find it by using this property.

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~Exterior angle property of triangle:

• Sum of two interior angle will be equal to exterior angle.

So,

⇒ ∠TVU+∠VUT=Exterior angle

⇒ (7x+12)°+(3x-6)°=116°

⇒ 7x+12°+3x-6°=116°

⇒ 10x+6°=116°

⇒ 10x=116°-6°

⇒ 10x=110°

⇒ x=110°/10

⇒ x=11°

So the required value of x is 11°.

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